Year 6 Angles Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 6 angles worksheet.
Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · AnglesYear 6 Angles Worksheet — Level 3 — Practice Set 4 — Answers
State the angle rule you use.
1.Two angles on a straight line are 54° and x°. Find x.
Answer: x = 126
- Angles on a straight line add to 180°
- x = 180 − 54 = 126
2.An isosceles triangle has an apex angle of 27°. Find each base angle.
Answer: 76.5°
- Base angles are equal: (180 − 27) ÷ 2
- = 153 ÷ 2 = 76.5
3.Three angles meet at a point: 106°, 42° and x°. Find x.
Answer: x = 212
- Angles at a point add to 360°
- x = 360 − 106 − 42 = 212
4.Three angles meet at a point: 105°, 130° and x°. Find x.
Answer: x = 125
- Angles at a point add to 360°
- x = 360 − 105 − 130 = 125
5.Two angles on a straight line are 156° and x°. Find x.
Answer: x = 24
- Angles on a straight line add to 180°
- x = 180 − 156 = 24
6.An isosceles triangle has an apex angle of 32°. Find each base angle.
Answer: 74°
- Base angles are equal: (180 − 32) ÷ 2
- = 148 ÷ 2 = 74
7.Two angles of a triangle are 107° and 102°. Find the third angle.
Answer: -29°
- Angles in a triangle add to 180°
- 180 − 107 − 102 = -29
8.Two angles of a triangle are 47° and 85°. Find the third angle.
Answer: 48°
- Angles in a triangle add to 180°
- 180 − 47 − 85 = 48
9.Two angles of a triangle are 108° and 29°. Find the third angle.
Answer: 43°
- Angles in a triangle add to 180°
- 180 − 108 − 29 = 43
10.Three angles meet at a point: 94°, 85° and x°. Find x.
Answer: x = 181
- Angles at a point add to 360°
- x = 360 − 94 − 85 = 181
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