Final answer:
The measure of angle ZWVU is found by adding the measures of angles ZVU and ZWV together, which equals 112°.
Step-by-step explanation:
To find m∠ ZWVU using the Angle Addition Postulate, we simply add the measures of m∠ ZVU and m∠ ZWV together. The Angle Addition Postulate states that if a point V lies in the interior of ∠ZWU, then m∠ ZWV + m∠ VWU = m∠ ZWU.
Given that m∠ ZVU = 62° and m∠ ZWV = 50°, we calculate the measure of the full angle ZWVU as follows:
m∠ ZWVU = m∠ ZVU + m∠ ZWV
= 62° + 50°
= 112°.
Therefore, m∠ ZWVU is 112°, which corresponds to answer choice (a).