Given: 

Find: 

The measure of angles
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
Given:
Figure
Definition:
If two parallel lines are cut by a transversal, then the angles on the transversal side are called supplementary and the sum of the measures of the angles is
Calculate:
Consider the triangle
Substitute
Since,
Substitute
Since,
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