Year 8 Angles Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 angles worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · AnglesYear 8 Angles Worksheet — Level 3 — Practice Set 3 — Answers
State the angle rule you use.
1.An isosceles triangle has an apex angle of 76°. Find each base angle.
Answer: 52°
- Base angles are equal: (180 − 76) ÷ 2
- = 104 ÷ 2 = 52
2.Three angles meet at a point: 145°, 124° and x°. Find x.
Answer: x = 91
- Angles at a point add to 360°
- x = 360 − 145 − 124 = 91
3.Two angles on a straight line are 70° and x°. Find x.
Answer: x = 110
- Angles on a straight line add to 180°
- x = 180 − 70 = 110
4.Three angles meet at a point: 70°, 89° and x°. Find x.
Answer: x = 201
- Angles at a point add to 360°
- x = 360 − 70 − 89 = 201
5.Two angles on a straight line are 43° and x°. Find x.
Answer: x = 137
- Angles on a straight line add to 180°
- x = 180 − 43 = 137
6.Two angles of a triangle are 116° and 57°. Find the third angle.
Answer: 7°
- Angles in a triangle add to 180°
- 180 − 116 − 57 = 7
7.Two angles on a straight line are 110° and x°. Find x.
Answer: x = 70
- Angles on a straight line add to 180°
- x = 180 − 110 = 70
8.Two angles on a straight line are 95° and x°. Find x.
Answer: x = 85
- Angles on a straight line add to 180°
- x = 180 − 95 = 85
9.Two angles of a triangle are 82° and 92°. Find the third angle.
Answer: 6°
- Angles in a triangle add to 180°
- 180 − 82 − 92 = 6
10.An isosceles triangle has an apex angle of 36°. Find each base angle.
Answer: 72°
- Base angles are equal: (180 − 36) ÷ 2
- = 144 ÷ 2 = 72
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