GEOMETRY, 2008
12

 PAGE: 285 SET: Exercises PROBLEM: 12

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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