Question

TUVW~IFGH. What is m∠V?

T
U
V
W
88°
67°
I
F
G
H
96°
109°
m∠V = °
Submit

Answer 1

m∠T = 68°

m∠U = 95°

m∠V = 112°

m∠W = 85°

Explanation:

m<V = (14z - 7)°

m<W = 10z°

m<T = 8z°

Recall that the sum of the opposite angles of a cyclic quadrilateral equals 180°.

Therefore:

(14z - 7)° + 8z° = 180°

Find z

14z - 7 + 8z = 180

22z - 7 = 180

22z = 180 + 7

22z = 187

22z/22 = 187/22

z = 8.5