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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.Two angles on a straight line are 150° and x°. Find x.

Answer: x = 30

  1. Angles on a straight line add to 180°
  2. x = 180 − 150 = 30
2.Three angles meet at a point: 94°, 112° and x°. Find x.

Answer: x = 154

  1. Angles at a point add to 360°
  2. x = 360 − 94 − 112 = 154
3.An isosceles triangle has an apex angle of 79°. Find each base angle.

Answer: 50.5°

  1. Base angles are equal: (180 − 79) ÷ 2
  2. = 101 ÷ 2 = 50.5
4.An isosceles triangle has an apex angle of 37°. Find each base angle.

Answer: 71.5°

  1. Base angles are equal: (180 − 37) ÷ 2
  2. = 143 ÷ 2 = 71.5
5.An isosceles triangle has an apex angle of 77°. Find each base angle.

Answer: 51.5°

  1. Base angles are equal: (180 − 77) ÷ 2
  2. = 103 ÷ 2 = 51.5
6.Two angles of a triangle are 93° and 36°. Find the third angle.

Answer: 51°

  1. Angles in a triangle add to 180°
  2. 180 − 93 − 36 = 51
7.Two angles of a triangle are 61° and 98°. Find the third angle.

Answer: 21°

  1. Angles in a triangle add to 180°
  2. 180 − 61 − 98 = 21
8.Three angles meet at a point: 40°, 104° and x°. Find x.

Answer: x = 216

  1. Angles at a point add to 360°
  2. x = 360 − 40 − 104 = 216
9.Two angles on a straight line are 110° and x°. Find x.

Answer: x = 70

  1. Angles on a straight line add to 180°
  2. x = 180 − 110 = 70
10.Three angles meet at a point: 125°, 83° and x°. Find x.

Answer: x = 152

  1. Angles at a point add to 360°
  2. x = 360 − 125 − 83 = 152
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