$\"\"$

Explore: Compare the measures of $\"\"$ , $\"\"$ .

Plan: To compare the angle measures use the properties and theorems of real numbers.

$\"\"$

Solve: Compare $\"\"$ .

Since $\"\"$ is an exterior angle. By the exterior angle theorem the measure of $\"\"$ is

greater than the measure of either of its corresponding remote interior angles.

So, $\"\"$ .

Compare $\"\"$ .

Again, by the exterior angle theorem the measure of $\"\"$ is

greater than the measure of either of its corresponding remote interior angles.

So, $\"\"$ . $\"\"$

Check: $\"\"$ is greater than the measures of $\"\"$ . Thus, $\"\"$ is the greastest measure.