Year 8 Angles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 angles worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · AnglesYear 8 Angles Worksheet — Level 3 — Answers
State the angle rule you use.
1.Three angles meet at a point: 133°, 81° and x°. Find x.
Answer: x = 146
- Angles at a point add to 360°
- x = 360 − 133 − 81 = 146
2.Two angles of a triangle are 36° and 119°. Find the third angle.
Answer: 25°
- Angles in a triangle add to 180°
- 180 − 36 − 119 = 25
3.An isosceles triangle has an apex angle of 60°. Find each base angle.
Answer: 60°
- Base angles are equal: (180 − 60) ÷ 2
- = 120 ÷ 2 = 60
4.Two angles on a straight line are 111° and x°. Find x.
Answer: x = 69
- Angles on a straight line add to 180°
- x = 180 − 111 = 69
5.Two angles of a triangle are 40° and 66°. Find the third angle.
Answer: 74°
- Angles in a triangle add to 180°
- 180 − 40 − 66 = 74
6.Two angles of a triangle are 105° and 53°. Find the third angle.
Answer: 22°
- Angles in a triangle add to 180°
- 180 − 105 − 53 = 22
7.Two angles of a triangle are 45° and 107°. Find the third angle.
Answer: 28°
- Angles in a triangle add to 180°
- 180 − 45 − 107 = 28
8.Three angles meet at a point: 43°, 63° and x°. Find x.
Answer: x = 254
- Angles at a point add to 360°
- x = 360 − 43 − 63 = 254
9.An isosceles triangle has an apex angle of 61°. Find each base angle.
Answer: 59.5°
- Base angles are equal: (180 − 61) ÷ 2
- = 119 ÷ 2 = 59.5
10.An isosceles triangle has an apex angle of 72°. Find each base angle.
Answer: 54°
- Base angles are equal: (180 − 72) ÷ 2
- = 108 ÷ 2 = 54
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.