## Geometry: Common Core (15th Edition)

According to the Corollary to the Triangle Exterior Angle Theorem, an exterior angle has a measure that is greater than each of the interior angles that is farthest away from it. In this exercise, $\angle 1$ is an exterior angle; therefore $m \angle 1$ is greater than $m \angle 2$ and $m \angle 1$ is greater than $m \angle 4$ because they are the interior angles of the triangle that are farthest away from the exterior angle.