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Year 7 Angles Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 7 angles worksheet.

Year 7 · Mathematics · Angles

Year 7 Angles Worksheet — Level 3 — Answers

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State the angle rule you use.

1.Two angles of a triangle are 22° and 63°. Find the third angle.

Answer: 95°

  1. Angles in a triangle add to 180°
  2. 180 − 22 − 63 = 95
2.An isosceles triangle has an apex angle of 33°. Find each base angle.

Answer: 73.5°

  1. Base angles are equal: (180 − 33) ÷ 2
  2. = 147 ÷ 2 = 73.5
3.An isosceles triangle has an apex angle of 25°. Find each base angle.

Answer: 77.5°

  1. Base angles are equal: (180 − 25) ÷ 2
  2. = 155 ÷ 2 = 77.5
4.Two angles of a triangle are 119° and 20°. Find the third angle.

Answer: 41°

  1. Angles in a triangle add to 180°
  2. 180 − 119 − 20 = 41
5.An isosceles triangle has an apex angle of 80°. Find each base angle.

Answer: 50°

  1. Base angles are equal: (180 − 80) ÷ 2
  2. = 100 ÷ 2 = 50
6.Two angles of a triangle are 65° and 49°. Find the third angle.

Answer: 66°

  1. Angles in a triangle add to 180°
  2. 180 − 65 − 49 = 66
7.An isosceles triangle has an apex angle of 41°. Find each base angle.

Answer: 69.5°

  1. Base angles are equal: (180 − 41) ÷ 2
  2. = 139 ÷ 2 = 69.5
8.Two angles on a straight line are 87° and x°. Find x.

Answer: x = 93

  1. Angles on a straight line add to 180°
  2. x = 180 − 87 = 93
9.Two angles of a triangle are 84° and 52°. Find the third angle.

Answer: 44°

  1. Angles in a triangle add to 180°
  2. 180 − 84 − 52 = 44
10.Two angles of a triangle are 83° and 91°. Find the third angle.

Answer: 6°

  1. Angles in a triangle add to 180°
  2. 180 − 83 − 91 = 6
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