Angles in triangles · Year 6

In Year 6 you learn: angles in a triangle add to 180°.

The three angles inside any triangle always add up to 180°. Combined with facts about isosceles and equilateral triangles, this lets you find any missing angle, and the exterior-angle rule gives a useful shortcut.

Key facts

  • Angles in a triangle add up to 180°.
  • In a right-angled triangle the other two angles add up to 90°.

Worked examples

Example 1

Why do the angles in any triangle add up to 180°?

Answer: They fit together on a straight line, and angles on a straight line add up to 180°.

Example 2

Find the angle x.

Answer: x = 60°

Other years