Explore: Compare the measures of with .

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

Solve: Compare .

By the exterior angle theorem . Since the angle measures are positive

numbers and from the definition of inequality, .

Compare .

Again, by the exterior angle theorem, .

Since from the definition of inequality, .

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

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