6th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 6th Grade angles worksheet.
6th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers
State the angle rule you use.
1.An isosceles triangle has an apex angle of 47°. Find each base angle.
Answer: 66.5°
- Base angles are equal: (180 − 47) ÷ 2
- = 133 ÷ 2 = 66.5
2.Three angles meet at a point: 58°, 153° and x°. Find x.
Answer: x = 149
- Angles at a point add to 360°
- x = 360 − 58 − 153 = 149
3.An isosceles triangle has an apex angle of 22°. Find each base angle.
Answer: 79°
- Base angles are equal: (180 − 22) ÷ 2
- = 158 ÷ 2 = 79
4.Two angles of a triangle are 91° and 105°. Find the third angle.
Answer: -16°
- Angles in a triangle add to 180°
- 180 − 91 − 105 = -16
5.An isosceles triangle has an apex angle of 69°. Find each base angle.
Answer: 55.5°
- Base angles are equal: (180 − 69) ÷ 2
- = 111 ÷ 2 = 55.5
6.An isosceles triangle has an apex angle of 66°. Find each base angle.
Answer: 57°
- Base angles are equal: (180 − 66) ÷ 2
- = 114 ÷ 2 = 57
7.Two angles of a triangle are 109° and 117°. Find the third angle.
Answer: -46°
- Angles in a triangle add to 180°
- 180 − 109 − 117 = -46
8.An isosceles triangle has an apex angle of 38°. Find each base angle.
Answer: 71°
- Base angles are equal: (180 − 38) ÷ 2
- = 142 ÷ 2 = 71
9.Two angles on a straight line are 26° and x°. Find x.
Answer: x = 154
- Angles on a straight line add to 180°
- x = 180 − 26 = 154
10.Two angles on a straight line are 103° and x°. Find x.
Answer: x = 77
- Angles on a straight line add to 180°
- x = 180 − 103 = 77
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.