Question

W

X
(6x-60)°
3x + 5
(2x+68)°
Z
A. WY = 72, m4Z = 132°
B. WY= 101, m4Z = 72°
C. WY = 101, m4Z = 132°
D. WY= 132, m4Z = 101°
Y
Find the length of Wy and the measure of ZZ.

Answer 1

x = 32

Explanation:

Angle <X and angle <Z is has same measure because they are congruent angles so we can write the following equation:

6x - 60 = 2x + 68 transfer like terms to the same side of the equation

6x - 2x = 68 + 60 subtract/add

4x = 128 divide both sides by 4

x = 32

To find the measure of angle <Z and length of WY replace x with the value we found

WY = 3*32 + 5

WY = 101

m<Z = 2*32 + 68

m<Z = 132