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Grade 5 Missing Angles Worksheets

Read a drawn straight line or a full turn, and find the angle that is missing from it.

Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF — no account, no watermark. For the other grade 5 geometry skills, see all geometry worksheets.

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Geometry · Grade 5

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SkillEach skill is a different kind of question, with its own levels.
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Grade 5 · 4 pages · A4

Geometry Practice

Grade 5 • Missing Angles • Around a point
Name:Date:

The angles at each point fill the whole turn. Find the one marked ?.

  1. 1) The angles fill the whole turn. Find the one marked ?.
    Answer:
    30°?130°145°
  1. 2) Find the angle marked ?.
    Answer:
    ?85°45°
  1. 3) Find the angle marked ?.
    Answer:
    35°105°?
  1. 4) The angles fill the whole turn. Find the one marked ?.
    Answer:
    115°55°?125°
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Page 1 of 4

The angles at each point fill the whole turn. Find the one marked ?. (continued)

  1. 5) Find the angle marked ?.
    Answer:
    ?110°150°
  1. 6) The angles fill the whole turn. Find the one marked ?.
    Answer:
    95°135°?35°
  1. 7) Find the angle marked ?.
    Answer:
    105°110°?
  1. 8) Find the angle marked ?.
    Answer:
    45°95°?
  1. 9) Find the angle marked ?.
    Answer:
    165°30°?
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Page 2 of 4

The angles at each point fill the whole turn. Find the one marked ?. (continued)

  1. 10) The angles fill the whole turn. Find the one marked ?.
    Answer:
    140°40°50°?
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Page 3 of 4

Answer Key

  1. 1. 55°
  2. 2. 230°
  3. 3. 220°
  4. 4. 65°
  1. 5. 100°
  2. 6. 95°
  3. 7. 145°
  4. 8. 220°
  1. 9. 165°
  2. 10. 130°
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Page 4 of 4

What each level generates

Grade 5 missing angles — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1On a straight line
  2. Level 2Around a point
  3. Level 3Two or three equal angles

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

More Grade 5 geometry skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

▸How do you find the area of a triangle?

Multiply the base by the perpendicular height and halve the result. A triangle with a base of 14 cm and a height of 6 cm has an area of 14 × 6 ÷ 2 = 42 cm². Area of Triangles practises that on its Base and height level, with measurements chosen so answers stay whole; Area of Rectangles is the neighbouring sheet.

▸How do you find a missing side when you know the area?

Divide. If a rectangle has an area of 96 cm² and a length of 12 cm, the width is 96 ÷ 12 = 8 cm. For a triangle, double the area first: an area of 60 cm² on a base of 10 cm gives a height of 120 ÷ 10 = 12 cm. That reverse thinking is Find a side from the area on Area of Rectangles, and Work backwards from the area on Area of Triangles.

▸What do angles on a straight line add up to?

180°. The On a straight line level of Missing Angles states one of the angles and asks for the one that is missing, so students subtract from 180 rather than measuring. Around a point does the same against 360°. It is the groundwork for angle sums in a triangle the following year.

▸Are the answers always whole numbers?

Every answer is exact and nothing is rounded. On the Triangles and other polygons level of Perimeter the sides are measured to a tenth of a centimetre, so those totals carry one decimal place; every other Grade 5 answer is a whole number.