Question

Find the value of x and y in the parallelogram below.

image of parallelogram WYZX with angle W labeled as 3 y degrees, angle X as y degrees, and angle Z as 3 x degrees
A. x = 60 ; y = 60
B. x = 45; y = 45
C. x = 45; y = 135
D. x = 135; y = 45

Answer 1

In a parallelogram, the opposite angles are equal and the sum of the angles is 360 degrees.

W = Z and Y = X
3y = 3x
Y = X = y
3y + y + 3x + x = 360
3x + x + 3x + x = 360
8x = 360
x = 360/8 = 45

Therefore, x = 45; y = 45