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Year 5 Angles Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 5 angles worksheet.

Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Angles

Year 5 Angles Worksheet — Level 3 — Answers

State the angle rule you use.

1.An isosceles triangle has an apex angle of 53°. Find each base angle.

Answer: 63.5°

  1. Base angles are equal: (180 − 53) ÷ 2
  2. = 127 ÷ 2 = 63.5
2.Three angles meet at a point: 85°, 144° and x°. Find x.

Answer: x = 131

  1. Angles at a point add to 360°
  2. x = 360 − 85 − 144 = 131
3.An isosceles triangle has an apex angle of 57°. Find each base angle.

Answer: 61.5°

  1. Base angles are equal: (180 − 57) ÷ 2
  2. = 123 ÷ 2 = 61.5
4.Three angles meet at a point: 129°, 57° and x°. Find x.

Answer: x = 174

  1. Angles at a point add to 360°
  2. x = 360 − 129 − 57 = 174
5.An isosceles triangle has an apex angle of 66°. Find each base angle.

Answer: 57°

  1. Base angles are equal: (180 − 66) ÷ 2
  2. = 114 ÷ 2 = 57
6.An isosceles triangle has an apex angle of 72°. Find each base angle.

Answer: 54°

  1. Base angles are equal: (180 − 72) ÷ 2
  2. = 108 ÷ 2 = 54
7.Three angles meet at a point: 47°, 79° and x°. Find x.

Answer: x = 234

  1. Angles at a point add to 360°
  2. x = 360 − 47 − 79 = 234
8.Two angles on a straight line are 94° and x°. Find x.

Answer: x = 86

  1. Angles on a straight line add to 180°
  2. x = 180 − 94 = 86
9.An isosceles triangle has an apex angle of 42°. Find each base angle.

Answer: 69°

  1. Base angles are equal: (180 − 42) ÷ 2
  2. = 138 ÷ 2 = 69
10.An isosceles triangle has an apex angle of 36°. Find each base angle.

Answer: 72°

  1. Base angles are equal: (180 − 36) ÷ 2
  2. = 144 ÷ 2 = 72
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