Year 7 Angles Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 angles worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · AnglesYear 7 Angles Worksheet — Level 3 — Practice Set 4 — Answers
State the angle rule you use.
1.Three angles meet at a point: 59°, 103° and x°. Find x.
Answer: x = 198
- Angles at a point add to 360°
- x = 360 − 59 − 103 = 198
2.Three angles meet at a point: 98°, 56° and x°. Find x.
Answer: x = 206
- Angles at a point add to 360°
- x = 360 − 98 − 56 = 206
3.Two angles on a straight line are 99° and x°. Find x.
Answer: x = 81
- Angles on a straight line add to 180°
- x = 180 − 99 = 81
4.Three angles meet at a point: 154°, 91° and x°. Find x.
Answer: x = 115
- Angles at a point add to 360°
- x = 360 − 154 − 91 = 115
5.Three angles meet at a point: 105°, 101° and x°. Find x.
Answer: x = 154
- Angles at a point add to 360°
- x = 360 − 105 − 101 = 154
6.An isosceles triangle has an apex angle of 26°. Find each base angle.
Answer: 77°
- Base angles are equal: (180 − 26) ÷ 2
- = 154 ÷ 2 = 77
7.Two angles on a straight line are 130° and x°. Find x.
Answer: x = 50
- Angles on a straight line add to 180°
- x = 180 − 130 = 50
8.Two angles on a straight line are 78° and x°. Find x.
Answer: x = 102
- Angles on a straight line add to 180°
- x = 180 − 78 = 102
9.Two angles on a straight line are 104° and x°. Find x.
Answer: x = 76
- Angles on a straight line add to 180°
- x = 180 − 104 = 76
10.Two angles on a straight line are 131° and x°. Find x.
Answer: x = 49
- Angles on a straight line add to 180°
- x = 180 − 131 = 49
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: