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Year 6 Angles Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 6 angles worksheet.

Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Angles

Year 6 Angles Worksheet — Level 3 — Practice Set 2 — Answers

State the angle rule you use.

1.Two angles on a straight line are 25° and x°. Find x.

Answer: x = 155

  1. Angles on a straight line add to 180°
  2. x = 180 − 25 = 155
2.Three angles meet at a point: 80°, 55° and x°. Find x.

Answer: x = 225

  1. Angles at a point add to 360°
  2. x = 360 − 80 − 55 = 225
3.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
4.Two angles of a triangle are 57° and 109°. Find the third angle.

Answer: 14°

  1. Angles in a triangle add to 180°
  2. 180 − 57 − 109 = 14
5.Two angles of a triangle are 60° and 24°. Find the third angle.

Answer: 96°

  1. Angles in a triangle add to 180°
  2. 180 − 60 − 24 = 96
6.Two angles on a straight line are 68° and x°. Find x.

Answer: x = 112

  1. Angles on a straight line add to 180°
  2. x = 180 − 68 = 112
7.Two angles of a triangle are 84° and 92°. Find the third angle.

Answer: 4°

  1. Angles in a triangle add to 180°
  2. 180 − 84 − 92 = 4
8.An isosceles triangle has an apex angle of 47°. Find each base angle.

Answer: 66.5°

  1. Base angles are equal: (180 − 47) ÷ 2
  2. = 133 ÷ 2 = 66.5
9.Two angles of a triangle are 111° and 103°. Find the third angle.

Answer: -34°

  1. Angles in a triangle add to 180°
  2. 180 − 111 − 103 = -34
10.Two angles of a triangle are 113° and 54°. Find the third angle.

Answer: 13°

  1. Angles in a triangle add to 180°
  2. 180 − 113 − 54 = 13
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