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Angles practice questions with answers

Foundation · Grade 2 · Non-calculator

A second set of angles questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

Angles around a point are 80°, 110° and the rest. What is the third angle?

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Answer: 170

  1. Angles around a point add to 360°.
  2. The value is 170.
  • Method (1): Angles around a point add to 360°.
  • Accuracy (1): Answer 170

Question 2 Easy

A right angle is split into 25° and another angle. What is the other angle?

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Answer: 65

  1. A right angle is 90°.
  2. The value is 65.
  • Method (1): A right angle is 90°.
  • Accuracy (1): Answer 65

Question 3 Medium

Two vertically opposite angles meet. One is 35°. What is the opposite angle?

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Answer: 35

  1. Vertically opposite angles are equal.
  2. The value is 35.
  • Method (1): Vertically opposite angles are equal.
  • Accuracy (1): Answer 35

Question 4 Medium

The exterior angle of a triangle is 100°. One opposite interior angle is 40°. What is the other opposite interior angle?

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Answer: 60

  1. The exterior angle equals the sum of the two opposite interior angles.
  2. The value is 60.
  • Method (1): The exterior angle equals the sum of the two opposite interior angles.
  • Accuracy (1): Answer 60

Question 5 Hard

In a triangle, one angle is 30°. The other two angles are in the ratio 2:1. What is the smaller of those two angles?

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Answer: 50

  1. The other two angles add to the rest of 180°.
  2. They share that sum in the ratio 2:1, so the smaller is one third of it.
  • Method (1): The other two angles add to the rest of 180°.
  • Accuracy (1): Answer 50

Question 6 Hard

A pie chart uses 90° for one category. What angle is left for the rest?

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Answer: 270

  1. A full turn is 360°.
  2. The value is 270.
  • Method (1): A full turn is 360°.
  • Accuracy (1): Answer 270

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

A regular hexagon has an exterior angle of 60°. One interior angle sits next to it on a straight line. What is that interior angle?

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Answer: 120

  1. The interior and exterior angles on a straight line add to 180°.
  2. The value is 120.
  • Method (1): The interior and exterior angles on a straight line add to 180°.
  • Accuracy (1): Answer 120

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

Two angles on a straight line are 45° and an unknown angle. What is the unknown angle?

  1. 135°
  2. 315°
  3. 45°
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135° The result is 135°.

Check 2

A triangle has angles 46° and 35°. What is the third angle?

  1. 99°
  2. 279°
  3. 81°
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99° The result is 99°.

Check 3

Three angles meet at a point and fill a full turn. Two of them are 90° and 110°. What is the third angle?

  1. 160°
  2. 200°
  3. 270°
Show answer

160° The result is 160°.

Check 4

Two straight lines cross. One of the angles is 48°. What is the angle next to it on a straight line?

  1. 132°
  2. 48°
  3. 312°
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132° The result is 132°.

Check 5

Two angles on a straight line are 49° and an unknown angle. What is the unknown angle?

  1. 131°
  2. 311°
  3. 41°
Show answer

131° The result is 131°.

Check 6

A triangle has angles 50° and 45°. What is the third angle?

  1. 85°
  2. 265°
  3. 95°
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85° The result is 85°.

Check 7

Three angles meet at a point and fill a full turn. Two of them are 100° and 120°. What is the third angle?

  1. 140°
  2. 220°
  3. 260°
Show answer

140° The result is 140°.

Check 8

Two straight lines cross. One of the angles is 52°. What is the angle opposite it?

  1. 52°
  2. 128°
  3. 308°
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52° The result is 52°.

Check 9

Two angles on a straight line are 53° and an unknown angle. What is the unknown angle?

  1. 127°
  2. 307°
  3. 37°
Show answer

127° The result is 127°.

Check 10

A triangle has angles 54° and 45°. What is the third angle?

  1. 81°
  2. 261°
  3. 99°
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81° The result is 81°.

Check 11

Three angles meet at a point and fill a full turn. Two of them are 110° and 130°. What is the third angle?

  1. 120°
  2. 240°
  3. 250°
Show answer

120° The result is 120°.

Check 12

Two straight lines cross. One of the angles is 56°. What is the angle next to it on a straight line?

  1. 124°
  2. 56°
  3. 304°
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124° The result is 124°.

Check 13

Two angles on a straight line are 57° and an unknown angle. What is the unknown angle?

  1. 123°
  2. 303°
  3. 33°
Show answer

123° The result is 123°.

Check 14

A triangle has angles 58° and 30°. What is the third angle?

  1. 92°
  2. 272°
  3. 88°
Show answer

92° The result is 92°.

Check 15

Three angles meet at a point and fill a full turn. Two of them are 120° and 100°. What is the third angle?

  1. 140°
  2. 220°
  3. 260°
Show answer

140° The result is 140°.

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