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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