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Three corners make a straight line

If you tear the three corners off any paper triangle and put their tips together, they fit perfectly along a straight edge. That shows the three angles of a triangle always add up to 180°, a straight angle.

In the picture

  1. Red corner: the first angle of the triangle
  2. Yellow corner: the second angle of the triangle
  3. Blue corner: the third angle of the triangle
  4. The ruler’s straight edge: the three angles together make a straight angle, 180°

Examples

  • A slice of pizza cut into a triangle: its three corner angles still add up to 180°.
  • A triangular road sign: however big it is, its three angles add up to 180°.

Quiz: Three corners make a straight line (Age 12)

  1. In any triangle, what do the three angles add up to?

    • 360°
    • 180°
    • 90°
  2. A triangle has two angles of 50° and 70°. How big is the third angle?

    • 120°
    • 80°
    • 60°
  3. If you tear the three corners off a paper triangle and put their tips together, what shape do they make?

    • A square corner
    • A full circle
    • A straight line

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