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PLEASE RESPOND ASAP!!what is the value of z in the figure below??

PLEASE RESPOND ASAP!!what is the value of z in the figure below??
asked 142k views
5 votes
PLEASE RESPOND ASAP!!what is the value of z in the figure below??

PLEASE RESPOND ASAP!!what is the value of z in the figure below??-example-1
asked
User Glytching
by
7.6k points

1 Answer

6 votes

Answer:

126

Explanation:

By cyclic quadrilateral theorem:


(180 \degree - 85 \degree) = (1)/(2) (z \degree + 64 \degree) \\ 95 \degree * 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126

answered
User Alessandro Mulloni
by
8.7k points
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