Question

Consider parallelogram VWXY below.

Use the information given in the figure to find m ZXYW, x, and m ZX.
97°
3.x
52°
X
W
m ZXYW =
X =
mZX

Answer 1

∠ XYW = 52° , ∠ X = 97°

Explanation:

∠ XYW and ∠ VWY are alternate angles and are congruent , then

∠ XYW = ∠ VWY = 52°

the opposite angles of a parallelogram are congruent , then

∠ X = ∠ Y = 97°