top of page

>

Exterior Angle of a Triangle

Exterior Angle of a Triangle

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

An exterior angle of a triangle is an angle formed when one side of the triangle is extended beyond a vertex.


A triangle with its based extended by a ray. The angle formed by the extended ray and the right side of the triangle is marked.

Key points:

  • Each vertex of a triangle has two exterior angles (one on each side), but usually only one is considered at a time.

  • An exterior angle and its adjacent interior angle are a linear pair and add to 180°.

  • The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the two non-adjacent interior angles.

KEEP GOING

Learn the whole picture

This term is one piece. Our courses build it into everything around it—short videos, practice, and the “why” behind every concept.

Algebra 1

Lines, slope, functions & more

Geometry

Shapes, proofs & spatial reasoning

bottom of page