From the figure below, determine the correct inequality from the following.
Since , therefore (alternate interior angles).
Step 1: Find .
Subtract the other two angle measures of from .
Step 2: Use the angle measures to compare the side lengths.
For any triangle, if an angle measure is greater than another
angle measure, then the side opposite to the greater angle measure
is longer than the side opposite to the smaller angle measure.
In , because . Therefore, .