Question

Find the measure of ZYVZ.

U
X
43°
Y
52⁰
V
38°
Z
W

Answer 1

measure of ∠YVZ = 47°

Explanation:

Let x be the measure of unknown angle, i.e.

m∠YVZ = x

angles on a straight line add up to 180°

according to the given figure:

43° + 52° + x + 38° = 180°

x + 133° = 180°

x = 180° - 133°

= 47°

thus,

measure of ∠YVZ = 47°