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

State the angle rule you use.

1.An isosceles triangle has an apex angle of 52°. Find each base angle.

Answer: 64°

  1. Base angles are equal: (180 − 52) ÷ 2
  2. = 128 ÷ 2 = 64
2.Two angles of a triangle are 44° and 70°. Find the third angle.

Answer: 66°

  1. Angles in a triangle add to 180°
  2. 180 − 44 − 70 = 66
3.An isosceles triangle has an apex angle of 73°. Find each base angle.

Answer: 53.5°

  1. Base angles are equal: (180 − 73) ÷ 2
  2. = 107 ÷ 2 = 53.5
4.Three angles meet at a point: 75°, 144° and x°. Find x.

Answer: x = 141

  1. Angles at a point add to 360°
  2. x = 360 − 75 − 144 = 141
5.Two angles on a straight line are 106° and x°. Find x.

Answer: x = 74

  1. Angles on a straight line add to 180°
  2. x = 180 − 106 = 74
6.Two angles of a triangle are 32° and 30°. Find the third angle.

Answer: 118°

  1. Angles in a triangle add to 180°
  2. 180 − 32 − 30 = 118
7.Two angles of a triangle are 67° and 100°. Find the third angle.

Answer: 13°

  1. Angles in a triangle add to 180°
  2. 180 − 67 − 100 = 13
8.Two angles of a triangle are 29° and 90°. Find the third angle.

Answer: 61°

  1. Angles in a triangle add to 180°
  2. 180 − 29 − 90 = 61
9.An isosceles triangle has an apex angle of 34°. Find each base angle.

Answer: 73°

  1. Base angles are equal: (180 − 34) ÷ 2
  2. = 146 ÷ 2 = 73
10.Three angles meet at a point: 52°, 65° and x°. Find x.

Answer: x = 243

  1. Angles at a point add to 360°
  2. x = 360 − 52 − 65 = 243
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