12.0k views
4 votes
D
Find mZW.
X
WK (11x - 29)
Z
(6x + 5)
mZW

D Find mZW. X WK (11x - 29) Z (6x + 5) mZW-example-1
User Ikesha
by
6.1k points

1 Answer

6 votes

Answer:

m<W = 103°

Explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

Find m<W:

m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

User Michael Landes
by
5.4k points