Exterior Angle

The exterior angle is the angle between any side of a shape and a line extended from the adjacent side.

Triangle vertex with extended baseline showing adjacent interior and exterior angles

An exterior angle is not the entire outside angle ... it is only the angle between one side and the line extended from the adjacent side.

We can extend either side and get the exact same angle:

Triangle vertex with extended baseline showing adjacent interior and exterior angles

More examples:

Polygon vertex with upward extended side showing exterior angle

Polygon vertex with downward extended side showing exterior angle

When we add up the interior angle and its matching exterior angle we get a straight angle 180°, so they are supplementary angles.

Exterior Angle + Interior Angle = 180°

Example: If the Interior Angle is 70°, what's the Exterior Angle?

We know they add up to 180°:

Exterior Angle = 180° − 70° = 110°