janellecarroll2006 janellecarroll2006
  • 15-07-2022
  • Mathematics
contestada

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.

W X 6x60 3x 5 2x68 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 class=

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KurdishPotato
KurdishPotato KurdishPotato
  • 15-07-2022

Answer:

x = 32

Step-by-step 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

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