Question

Use the Angle Addition Postulate to find m∠ ZWVU if m∠ ZVU = 62° and m∠ ZWV = 50° .

a) 112°
b) 112.5°
c) 122°
d) 122.5°

Answer 1

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).