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 · AnglesYear 6 Angles Worksheet — Level 3 — Practice Set 3 — Answers
State the angle rule you use.
1.An isosceles triangle has an apex angle of 42°. Find each base angle.
Answer: 69°
- Base angles are equal: (180 − 42) ÷ 2
- = 138 ÷ 2 = 69
2.An isosceles triangle has an apex angle of 64°. Find each base angle.
Answer: 58°
- Base angles are equal: (180 − 64) ÷ 2
- = 116 ÷ 2 = 58
3.Three angles meet at a point: 89°, 95° and x°. Find x.
Answer: x = 176
- Angles at a point add to 360°
- x = 360 − 89 − 95 = 176
4.Three angles meet at a point: 114°, 150° and x°. Find x.
Answer: x = 96
- Angles at a point add to 360°
- x = 360 − 114 − 150 = 96
5.Three angles meet at a point: 78°, 92° and x°. Find x.
Answer: x = 190
- Angles at a point add to 360°
- x = 360 − 78 − 92 = 190
6.Two angles of a triangle are 47° and 99°. Find the third angle.
Answer: 34°
- Angles in a triangle add to 180°
- 180 − 47 − 99 = 34
7.An isosceles triangle has an apex angle of 75°. Find each base angle.
Answer: 52.5°
- Base angles are equal: (180 − 75) ÷ 2
- = 105 ÷ 2 = 52.5
8.An isosceles triangle has an apex angle of 46°. Find each base angle.
Answer: 67°
- Base angles are equal: (180 − 46) ÷ 2
- = 134 ÷ 2 = 67
9.Two angles on a straight line are 25° and x°. Find x.
Answer: x = 155
- Angles on a straight line add to 180°
- x = 180 − 25 = 155
10.An isosceles triangle has an apex angle of 21°. Find each base angle.
Answer: 79.5°
- Base angles are equal: (180 − 21) ÷ 2
- = 159 ÷ 2 = 79.5
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