△ SSC CGL, CBSE 9–10

Geometry — formula, example and practice

Triangles, circles and angle chasing. Draw the figure before you calculate.

Content type: original worked example. Not labelled as a previous-year question.

Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions

Formula

Sum of angles in a triangle = 180° · Straight line = 180°

Shapes and angle facts. Competitive geometry is mostly triangles and circles.

What you should learn here

Circle: angle in a semicircle is 90°. Tangent is perpendicular to the radius at the point of contact.

Worked example

Question. In a triangle, two angles are 50° and 60°. Third angle?

Solution. 70°.

Common mistake. Using Pythagoras on a non-right triangle.

When to use the shortcut. Sketch first. Mark given lengths. Only then write a formula.

Related chapters and tests

Algebra Mensuration Percentage Ratio and Proportion All formulas SSC GD mocks SSC CGL mocks

150 important Geometry questions

Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.

Q. 1ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 2ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 3ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 4ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 5ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 6ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 7ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 8ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 9ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 10ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

Q. 11ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 12ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 13ज्यामिति

A right triangle has legs 6 and 8. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 36+64=100.

Q. 14ज्यामिति

In a triangle two angles are 70° and 65°. The third is

Answer / solution

Correct option: C

180−70−65 = 45°.

Q. 15ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 16ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 17ज्यामिति

A right triangle has legs 5 and 12. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 25+144=169.

Q. 18ज्यामिति

In a triangle two angles are 60° and 65°. The third is

Answer / solution

Correct option: B

180−60−65 = 55°.

Q. 19ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 20ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 21ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 22ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 23ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 24ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 25ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 26ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 27ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 28ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 29ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 30ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

Q. 31ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 32ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 33ज्यामिति

A right triangle has legs 6 and 8. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 36+64=100.

Q. 34ज्यामिति

In a triangle two angles are 70° and 65°. The third is

Answer / solution

Correct option: C

180−70−65 = 45°.

Q. 35ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 36ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 37ज्यामिति

A right triangle has legs 5 and 12. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 25+144=169.

Q. 38ज्यामिति

In a triangle two angles are 60° and 65°. The third is

Answer / solution

Correct option: B

180−60−65 = 55°.

Q. 39ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 40ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 41ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 42ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 43ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 44ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 45ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 46ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 47ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 48ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 49ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 50ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

Q. 51ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 52ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 53ज्यामिति

A right triangle has legs 6 and 8. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 36+64=100.

Q. 54ज्यामिति

In a triangle two angles are 70° and 65°. The third is

Answer / solution

Correct option: C

180−70−65 = 45°.

Q. 55ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 56ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 57ज्यामिति

A right triangle has legs 5 and 12. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 25+144=169.

Q. 58ज्यामिति

In a triangle two angles are 60° and 65°. The third is

Answer / solution

Correct option: B

180−60−65 = 55°.

Q. 59ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 60ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 61ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 62ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 63ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 64ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 65ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 66ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 67ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 68ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 69ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 70ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

Q. 71ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 72ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 73ज्यामिति

A right triangle has legs 6 and 8. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 36+64=100.

Q. 74ज्यामिति

In a triangle two angles are 70° and 65°. The third is

Answer / solution

Correct option: C

180−70−65 = 45°.

Q. 75ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 76ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 77ज्यामिति

A right triangle has legs 5 and 12. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 25+144=169.

Q. 78ज्यामिति

In a triangle two angles are 60° and 65°. The third is

Answer / solution

Correct option: B

180−60−65 = 55°.

Q. 79ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 80ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 81ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 82ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 83ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 84ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 85ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 86ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 87ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 88ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 89ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 90ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

Q. 91ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 92ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 93ज्यामिति

A right triangle has legs 6 and 8. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 36+64=100.

Q. 94ज्यामिति

In a triangle two angles are 70° and 65°. The third is

Answer / solution

Correct option: C

180−70−65 = 45°.

Q. 95ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 96ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 97ज्यामिति

A right triangle has legs 5 and 12. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 25+144=169.

Q. 98ज्यामिति

In a triangle two angles are 60° and 65°. The third is

Answer / solution

Correct option: B

180−60−65 = 55°.

Q. 99ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 100ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 101ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 102ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 103ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 104ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 105ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 106ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 107ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 108ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 109ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 110ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

Q. 111ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 112ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 113ज्यामिति

A right triangle has legs 6 and 8. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 36+64=100.

Q. 114ज्यामिति

In a triangle two angles are 70° and 65°. The third is

Answer / solution

Correct option: C

180−70−65 = 45°.

Q. 115ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 116ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 117ज्यामिति

A right triangle has legs 5 and 12. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 25+144=169.

Q. 118ज्यामिति

In a triangle two angles are 60° and 65°. The third is

Answer / solution

Correct option: B

180−60−65 = 55°.

Q. 119ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 120ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 121ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 122ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 123ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 124ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 125ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 126ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 127ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 128ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 129ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 130ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

Q. 131ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 132ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 133ज्यामिति

A right triangle has legs 6 and 8. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 36+64=100.

Q. 134ज्यामिति

In a triangle two angles are 70° and 65°. The third is

Answer / solution

Correct option: C

180−70−65 = 45°.

Q. 135ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 136ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 137ज्यामिति

A right triangle has legs 5 and 12. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 25+144=169.

Q. 138ज्यामिति

In a triangle two angles are 60° and 65°. The third is

Answer / solution

Correct option: B

180−60−65 = 55°.

Q. 139ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 140ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 141ज्यामिति

A right triangle has legs 3 and 4. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 9+16=25.

Q. 142ज्यामिति

In a triangle two angles are 50° and 65°. The third is

Answer / solution

Correct option: A

180−50−65 = 65°.

Q. 143ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 144ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 145ज्यामिति

A right triangle has legs 8 and 15. Hypotenuse is

Answer / solution

Correct option: D

Pythagoras: 64+225=289.

Q. 146ज्यामिति

In a triangle two angles are 40° and 65°. The third is

Answer / solution

Correct option: D

180−40−65 = 75°.

Q. 147ज्यामिति

Each interior angle of a square is

Answer / solution

Correct option: D

A square has four right angles.

Q. 148ज्यामिति

Sum of interior angles of a triangle is

Answer / solution

Correct option: D

Always 180°.

Q. 149ज्यामिति

A right triangle has legs 9 and 12. Hypotenuse is

Answer / solution

Correct option: A

Pythagoras: 81+144=225.

Q. 150ज्यामिति

In a triangle two angles are 80° and 65°. The third is

Answer / solution

Correct option: C

180−80−65 = 35°.

FAQs

Are these previous-year SSC questions?

No year or shift is claimed on these pages. Each maths section has 150 original practice MCQs. When a verified source database exists, a question will show exam + year; until then it is practice.

Where are Class 10 board formulas?

The CBSE formula sheet at /cbse/class-10/mathematics/formulas/ stays the canonical board list. This maths hub links to it instead of copying every line.

Do you publish tricks that are only sometimes true?

Every shortcut page states when the trick must not be used. A speed trick that fails on close options is not published as if it were a theorem.