Success TutoringWorksheets

5th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 5th Grade angles worksheet.

Success TutoringWorksheetsAnswer sheet5th Grade · Mathematics · Angles

5th Grade Angles Worksheet — Level 3 — Practice Set 4 — Answers

State the angle rule you use.

1.An isosceles triangle has an apex angle of 74°. Find each base angle.

Answer: 53°

  1. Base angles are equal: (180 − 74) ÷ 2
  2. = 106 ÷ 2 = 53
2.Two angles of a triangle are 98° and 85°. Find the third angle.

Answer: -3°

  1. Angles in a triangle add to 180°
  2. 180 − 98 − 85 = -3
3.An isosceles triangle has an apex angle of 69°. Find each base angle.

Answer: 55.5°

  1. Base angles are equal: (180 − 69) ÷ 2
  2. = 111 ÷ 2 = 55.5
4.An isosceles triangle has an apex angle of 51°. Find each base angle.

Answer: 64.5°

  1. Base angles are equal: (180 − 51) ÷ 2
  2. = 129 ÷ 2 = 64.5
5.Two angles on a straight line are 55° and x°. Find x.

Answer: x = 125

  1. Angles on a straight line add to 180°
  2. x = 180 − 55 = 125
6.Two angles on a straight line are 120° and x°. Find x.

Answer: x = 60

  1. Angles on a straight line add to 180°
  2. x = 180 − 120 = 60
7.Two angles of a triangle are 120° and 47°. Find the third angle.

Answer: 13°

  1. Angles in a triangle add to 180°
  2. 180 − 120 − 47 = 13
8.An isosceles triangle has an apex angle of 50°. Find each base angle.

Answer: 65°

  1. Base angles are equal: (180 − 50) ÷ 2
  2. = 130 ÷ 2 = 65
9.An isosceles triangle has an apex angle of 39°. Find each base angle.

Answer: 70.5°

  1. Base angles are equal: (180 − 39) ÷ 2
  2. = 141 ÷ 2 = 70.5
10.Three angles meet at a point: 132°, 96° and x°. Find x.

Answer: x = 132

  1. Angles at a point add to 360°
  2. x = 360 − 132 − 96 = 132
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.