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.