Year 6 Angles Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 6 angles worksheet.
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
- Angles on a straight line add to 180°
- x = 180 − 150 = 30
2.Three angles meet at a point: 94°, 112° and x°. Find x.
Answer: x = 154
- Angles at a point add to 360°
- x = 360 − 94 − 112 = 154
3.An isosceles triangle has an apex angle of 79°. Find each base angle.
Answer: 50.5°
- Base angles are equal: (180 − 79) ÷ 2
- = 101 ÷ 2 = 50.5
4.An isosceles triangle has an apex angle of 37°. Find each base angle.
Answer: 71.5°
- Base angles are equal: (180 − 37) ÷ 2
- = 143 ÷ 2 = 71.5
5.An isosceles triangle has an apex angle of 77°. Find each base angle.
Answer: 51.5°
- Base angles are equal: (180 − 77) ÷ 2
- = 103 ÷ 2 = 51.5
6.Two angles of a triangle are 93° and 36°. Find the third angle.
Answer: 51°
- Angles in a triangle add to 180°
- 180 − 93 − 36 = 51
7.Two angles of a triangle are 61° and 98°. Find the third angle.
Answer: 21°
- Angles in a triangle add to 180°
- 180 − 61 − 98 = 21
8.Three angles meet at a point: 40°, 104° and x°. Find x.
Answer: x = 216
- Angles at a point add to 360°
- x = 360 − 40 − 104 = 216
9.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
10.Three angles meet at a point: 125°, 83° and x°. Find x.
Answer: x = 152
- Angles at a point add to 360°
- x = 360 − 125 − 83 = 152
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.