6th Grade Angles Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 6th Grade angles worksheet.
Success TutoringWorksheetsAnswer sheet6th Grade · Mathematics · Angles6th Grade Angles Worksheet — Level 3 — Answers
State the angle rule you use.
1.Two angles of a triangle are 61° and 27°. Find the third angle.
Answer: 92°
- Angles in a triangle add to 180°
- 180 − 61 − 27 = 92
2.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
3.An isosceles triangle has an apex angle of 28°. Find each base angle.
Answer: 76°
- Base angles are equal: (180 − 28) ÷ 2
- = 152 ÷ 2 = 76
4.Two angles of a triangle are 45° and 95°. Find the third angle.
Answer: 40°
- Angles in a triangle add to 180°
- 180 − 45 − 95 = 40
5.Two angles on a straight line are 117° and x°. Find x.
Answer: x = 63
- Angles on a straight line add to 180°
- x = 180 − 117 = 63
6.Two angles of a triangle are 79° and 84°. Find the third angle.
Answer: 17°
- Angles in a triangle add to 180°
- 180 − 79 − 84 = 17
7.Two angles on a straight line are 82° and x°. Find x.
Answer: x = 98
- Angles on a straight line add to 180°
- x = 180 − 82 = 98
8.Two angles of a triangle are 45° and 92°. Find the third angle.
Answer: 43°
- Angles in a triangle add to 180°
- 180 − 45 − 92 = 43
9.Three angles meet at a point: 156°, 78° and x°. Find x.
Answer: x = 126
- Angles at a point add to 360°
- x = 360 − 156 − 78 = 126
10.Three angles meet at a point: 103°, 113° and x°. Find x.
Answer: x = 144
- Angles at a point add to 360°
- x = 360 − 103 − 113 = 144
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.