help me pls it is hard
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108° is anawer
hope it helps
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0
Answer:
angle POZ = 108
Step-by-step explanation:
let angle POY be x
As OP bisects angle QOY
implies angle POY = angle POQ = x
ATQ angle POQ = 2 ( angle QOZ )
implies x = 2 ( angle QOZ )
angle QOZ = x / 2
AS YZ is a straight line
then angle POY + angle POQ + angle QOZ = 180
x + x + x/2 = 180
5x /2 = 180
5 x = 360
x = 360 / 5 = 72
angle POQ = angle POY = 72
angle QOZ = 36
angle POZ = angle POQ + angle QOZ
angle POZ = 72 + 36
angle POZ = 108
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