Angles in triangles and quadrilateralsInterior and exterior angles

Angles inside a shape are called interior angles. Interior angles in a triangle add up to 180°. Interior angles in a quadrilateral add up to 360°.

Part ofMathsAngle, symmetry and transformation

Interior and exterior angles

The angles inside a shape are called interior angles.

If the side of a triangle is extended, the angle formed outside the triangle is the exterior angle.

Triangle producing unknown angles, g and h, along a line
  • \(g\) is the interior angle
  • \(h\) is the exterior angle
  • \(g + h = 180^\circ\)

An interior angle and exterior angle are supplementary. They always add up to 180°.

Question

Calculate the angles \(m\) and \(n\).

Triangle on a line, producing unknown angles, m & n