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Year 5 Angles Worksheet — Level 3 — Practice Set 2 — Answers

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

Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Angles

Year 5 Angles Worksheet — Level 3 — Practice Set 2 — Answers

State the angle rule you use.

1.Two angles of a triangle are 44° and 31°. Find the third angle.

Answer: 105°

  1. Angles in a triangle add to 180°
  2. 180 − 44 − 31 = 105
2.Two angles on a straight line are 89° and x°. Find x.

Answer: x = 91

  1. Angles on a straight line add to 180°
  2. x = 180 − 89 = 91
3.Two angles on a straight line are 48° and x°. Find x.

Answer: x = 132

  1. Angles on a straight line add to 180°
  2. x = 180 − 48 = 132
4.Two angles on a straight line are 133° and x°. Find x.

Answer: x = 47

  1. Angles on a straight line add to 180°
  2. x = 180 − 133 = 47
5.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
6.Three angles meet at a point: 123°, 133° and x°. Find x.

Answer: x = 104

  1. Angles at a point add to 360°
  2. x = 360 − 123 − 133 = 104
7.Three angles meet at a point: 51°, 96° and x°. Find x.

Answer: x = 213

  1. Angles at a point add to 360°
  2. x = 360 − 51 − 96 = 213
8.Three angles meet at a point: 68°, 122° and x°. Find x.

Answer: x = 170

  1. Angles at a point add to 360°
  2. x = 360 − 68 − 122 = 170
9.Three angles meet at a point: 76°, 150° and x°. Find x.

Answer: x = 134

  1. Angles at a point add to 360°
  2. x = 360 − 76 − 150 = 134
10.An isosceles triangle has an apex angle of 26°. Find each base angle.

Answer: 77°

  1. Base angles are equal: (180 − 26) ÷ 2
  2. = 154 ÷ 2 = 77
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