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.
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