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    Geometry Space

    Year 5 Angles

    Name acute, right, obtuse and reflex angles from their size, and work out missing angles on a straight line and in a triangle.

    • Ages 9–11
    • 3 quests
    • Beginner → Getting stronger → Challenge

    An angle measures a turn, in degrees. Year 5 children name angles by their size and use two facts — a straight line is 180° and a triangle’s angles add up to 180° — to find missing angles.

    What your child will learn

    • Name acute, right, obtuse and reflex angles
    • Know that angles on a straight line add up to 180°
    • Know that the angles in a triangle add up to 180°
    • Work out a missing angle

    Four kinds of angle

    An acute angle is less than 90°. A right angle is exactly 90°. An obtuse angle is between 90° and 180°. A reflex angle is more than 180°. If two angles sit on a straight line and one is 65°, the other must be 180 − 65 = 115°.

    Example questions

    Here are a few questions like the ones in the first quest. Can you solve them?

    1. 1. A right angle is split into two angles. One is 45°. What is the other, in degrees?

      Show answer

      Answer: 45. A right angle is 90°: 90 − 45 = 45.

    2. 2. An angle measures 100°. What kind of angle is it?

      • Acute
      • Right angle
      • Obtuse
      • Reflex
      Show answer

      Answer: Obtuse. It is between 90° and 180°, so it is obtuse.

    3. 3. An angle measures 330°. What kind of angle is it?

      • Acute
      • Right angle
      • Obtuse
      • Reflex
      Show answer

      Answer: Reflex. It is more than 180°, so it is reflex.

    Tips for grown-ups

    • Hunt for angles on a clock face: 3:00 is a right angle; 1:00 is acute.
    • Tear the corners off a paper triangle and line them up — they make a straight line.