Based on the angles addition postulate, m∠UVW = 140°.
What is the Angles Addition Postulate?
The angles addition postulate says that two smaller angles that is composite of a larger angle can be added together to give the measure of the larger angle.
Based on the angle addition postulate, the following equation that can be used to solve the problem given is derived below:
measure of angle XVW + measure of angle UVX = measure of angle UVW
Given the following:
measure of angle UVX = 76°
measure of angle XVW = 64°
Thus, using the above equation, we have:
64 + 76 = measure of angle UVW
140 = measure of angle UVW
measure of angle UVW = 140°
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