Question

Given: WZ perpendicular to WY, WZ bisects VY, and m angle V = 40.

What is m angle VWZ?

Answers:
A. 40
B. 100
C. 80
D. 50

Answer 1

D. 50. Since WZ is perpendicular, it has a right angle plus the 40 degrees given at V equals 130. Add 50 to get 180.

Answer 2

∠VWZ=50°

D is correct.

Explanation:

Given: WZ perpendicular to ZY, WZ bisects VY, ∠V=40°

In ΔVWZ

∠V+∠VWZ+∠VZW=180° (Angle Sum property of triangle)

∠VWZ=?

∠V=40°

∠VZW=90°

Substitute the value into equation.

∠VWZ+40+90=180

∠VWZ=180-40-90

∠VWZ=50°

Hence, The ∠VWZ=50°