Applying the exterior angles theorem, the measure of the exterior angle is: m∠2 = 139°.
What is the Exterior Angles Theorem?
The exterior angles theorem states that the measure of the two remote angles in a triangle is equal to the measure of the exterior angle of a triangle.
Thus:
75° and 64° are remote interior angles.
Therefore:
m∠2 = 75° + 64°
m∠2 = 139°
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