6th Grade Angles Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 6th Grade angles worksheet.
6th Grade Angles Worksheet — Level 3 — Practice Set 3 — Answers
State the angle rule you use.
1.Three angles meet at a point: 115°, 134° and x°. Find x.
Answer: x = 111
- Angles at a point add to 360°
- x = 360 − 115 − 134 = 111
2.Three angles meet at a point: 128°, 104° and x°. Find x.
Answer: x = 128
- Angles at a point add to 360°
- x = 360 − 128 − 104 = 128
3.Two angles of a triangle are 30° and 65°. Find the third angle.
Answer: 85°
- Angles in a triangle add to 180°
- 180 − 30 − 65 = 85
4.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
5.Two angles on a straight line are 22° and x°. Find x.
Answer: x = 158
- Angles on a straight line add to 180°
- x = 180 − 22 = 158
6.Two angles of a triangle are 63° and 68°. Find the third angle.
Answer: 49°
- Angles in a triangle add to 180°
- 180 − 63 − 68 = 49
7.Three angles meet at a point: 79°, 79° and x°. Find x.
Answer: x = 202
- Angles at a point add to 360°
- x = 360 − 79 − 79 = 202
8.Three angles meet at a point: 53°, 40° and x°. Find x.
Answer: x = 267
- Angles at a point add to 360°
- x = 360 − 53 − 40 = 267
9.Two angles of a triangle are 97° and 81°. Find the third angle.
Answer: 2°
- Angles in a triangle add to 180°
- 180 − 97 − 81 = 2
10.Two angles on a straight line are 73° and x°. Find x.
Answer: x = 107
- Angles on a straight line add to 180°
- x = 180 − 73 = 107
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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