$\"\"$

The Exterior Angle Inequality theorem states that an exterior angle measure is greater than the

measure of either of its corresponding remote interior angles.

Write two inequalities to express the relationships among the measures of the angles of $\"\"$ .

Observe the figure:

Angle $\"\"$ is the exterior angle, and angles $\"\"$ and $\"\"$ are its corresponding remote interior angles. By the Exterior Angle Inequality Theorem: $\"\"$ and $\"\"$ .

$\"\"$

Two inequalities are $\"\"$ and $\"\"$ .