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Three corners on a ruler edge

Take the three corners of any paper triangle and lay them side by side on a straight edge. Together they fill exactly a straight angle, so the three angles of a triangle add up to 180°.

In the picture

  1. Red corner of the paper triangle: the first of the three angles
  2. Blue corner of the paper triangle: the second angle
  3. Yellow corner of the paper triangle: the third angle
  4. Point where the three torn tips meet on the ruler edge: the three angles together fill a half-turn

Examples

  • A triangular slice of pizza: its three corner angles always form a straight angle.
  • A triangular road sign or a set square: however stretched it looks, its three angles fill a half-turn.

Quiz: Three corners on a ruler edge (Age 12)

  1. What do the three interior angles of any triangle add up to?

    • 90°
    • 180°
    • 360°
  2. What happens to the sum of the interior angles when a triangle is made larger?

    • It becomes smaller
    • It stays the same
    • It becomes larger
  3. If two angles of a triangle are 50° and 60°, what is the third angle?

    • 70°
    • 60°
    • 110°

The answers, each with its explanation, are in the app. This lesson has left the free week, so its quiz is part of the subscription.

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Maths, Age 12