Year 5 Angles Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 5 angles worksheet.
Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · AnglesYear 5 Angles Worksheet — Level 3 — Practice Set 3 — Answers
State the angle rule you use.
1.Three angles meet at a point: 53°, 92° and x°. Find x.
Answer: x = 215
- Angles at a point add to 360°
- x = 360 − 53 − 92 = 215
2.An isosceles triangle has an apex angle of 40°. Find each base angle.
Answer: 70°
- Base angles are equal: (180 − 40) ÷ 2
- = 140 ÷ 2 = 70
3.An isosceles triangle has an apex angle of 47°. Find each base angle.
Answer: 66.5°
- Base angles are equal: (180 − 47) ÷ 2
- = 133 ÷ 2 = 66.5
4.An isosceles triangle has an apex angle of 57°. Find each base angle.
Answer: 61.5°
- Base angles are equal: (180 − 57) ÷ 2
- = 123 ÷ 2 = 61.5
5.Two angles of a triangle are 118° and 104°. Find the third angle.
Answer: -42°
- Angles in a triangle add to 180°
- 180 − 118 − 104 = -42
6.Two angles of a triangle are 69° and 24°. Find the third angle.
Answer: 87°
- Angles in a triangle add to 180°
- 180 − 69 − 24 = 87
7.An isosceles triangle has an apex angle of 27°. Find each base angle.
Answer: 76.5°
- Base angles are equal: (180 − 27) ÷ 2
- = 153 ÷ 2 = 76.5
8.Two angles of a triangle are 72° and 85°. Find the third angle.
Answer: 23°
- Angles in a triangle add to 180°
- 180 − 72 − 85 = 23
9.Two angles of a triangle are 84° and 66°. Find the third angle.
Answer: 30°
- Angles in a triangle add to 180°
- 180 − 84 − 66 = 30
10.Three angles meet at a point: 160°, 129° and x°. Find x.
Answer: x = 71
- Angles at a point add to 360°
- x = 360 − 160 − 129 = 71
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