Maths worksheets · lesson 46 of 64 · free

Basic geometry: angles and turns — Maths worksheet

An angle measures how much something turns. A quarter turn is 90° (a right angle), a half turn is 180° (a straight angle) and a full turn is 360°. Angles less than 90° are acute, between 90° and 180° obtuse, and between 180° and 360° reflex. Angles that together make a straight line add up to 180°, and angles around a point add up to 360°.

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The method

Know the totals — “a straight line makes 180°, a full turn makes 360°”

  1. Acute < 90°, right = 90°, obtuse between 90° and 180°, straight = 180°, reflex between 180° and 360°.
  2. Angles on a straight line add up to 180°; angles around a point add up to 360°.
  3. Each hour mark on a clock is 30° apart (360° ÷ 12).
  4. Turning clockwise from North: 90° → East, 180° → South, 270° → West.

Use it for: Reading a compass, clock hands, doors opening, drawing with a protractor, and the basic geometry chapter of Class 6 maths.

Worked example: Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)? → 65

  1. Angles on a straight line add up to 180°.
  2. 180 − 40 − 75 = 65.

Check: 40 + 75 + 65 = 180 ✓

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🏁 Lesson 46 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Class 6 Maths Worksheet: Angles and Geometry

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