7th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 7th Grade angles worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Angles7th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers
State the angle rule you use.
1.Three angles meet at a point: 115°, 129° and x°. Find x.
Answer: x = 116
- Angles at a point add to 360°
- x = 360 − 115 − 129 = 116
2.Two angles on a straight line are 115° and x°. Find x.
Answer: x = 65
- Angles on a straight line add to 180°
- x = 180 − 115 = 65
3.Two angles of a triangle are 47° and 33°. Find the third angle.
Answer: 100°
- Angles in a triangle add to 180°
- 180 − 47 − 33 = 100
4.Two angles on a straight line are 142° and x°. Find x.
Answer: x = 38
- Angles on a straight line add to 180°
- x = 180 − 142 = 38
5.Three angles meet at a point: 41°, 111° and x°. Find x.
Answer: x = 208
- Angles at a point add to 360°
- x = 360 − 41 − 111 = 208
6.Three angles meet at a point: 42°, 135° and x°. Find x.
Answer: x = 183
- Angles at a point add to 360°
- x = 360 − 42 − 135 = 183
7.Two angles on a straight line are 70° and x°. Find x.
Answer: x = 110
- Angles on a straight line add to 180°
- x = 180 − 70 = 110
8.An isosceles triangle has an apex angle of 67°. Find each base angle.
Answer: 56.5°
- Base angles are equal: (180 − 67) ÷ 2
- = 113 ÷ 2 = 56.5
9.An isosceles triangle has an apex angle of 52°. Find each base angle.
Answer: 64°
- Base angles are equal: (180 − 52) ÷ 2
- = 128 ÷ 2 = 64
10.An isosceles triangle has an apex angle of 62°. Find each base angle.
Answer: 59°
- Base angles are equal: (180 − 62) ÷ 2
- = 118 ÷ 2 = 59
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.
Great work. Here's what to try next: