Year 6 Angles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 6 angles worksheet.
Year 6 Angles Worksheet — Level 3 — Answers
State the angle rule you use.
1.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
2.Two angles on a straight line are 149° and x°. Find x.
Answer: x = 31
- Angles on a straight line add to 180°
- x = 180 − 149 = 31
3.Three angles meet at a point: 132°, 117° and x°. Find x.
Answer: x = 111
- Angles at a point add to 360°
- x = 360 − 132 − 117 = 111
4.Two angles on a straight line are 136° and x°. Find x.
Answer: x = 44
- Angles on a straight line add to 180°
- x = 180 − 136 = 44
5.Three angles meet at a point: 117°, 43° and x°. Find x.
Answer: x = 200
- Angles at a point add to 360°
- x = 360 − 117 − 43 = 200
6.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
7.Two angles on a straight line are 160° and x°. Find x.
Answer: x = 20
- Angles on a straight line add to 180°
- x = 180 − 160 = 20
8.Two angles on a straight line are 143° and x°. Find x.
Answer: x = 37
- Angles on a straight line add to 180°
- x = 180 − 143 = 37
9.Two angles of a triangle are 25° and 107°. Find the third angle.
Answer: 48°
- Angles in a triangle add to 180°
- 180 − 25 − 107 = 48
10.Three angles meet at a point: 125°, 137° and x°. Find x.
Answer: x = 98
- Angles at a point add to 360°
- x = 360 − 125 − 137 = 98
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.