please find x and y and tell reason please
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Answer:
may your day goes good
Step-by-step explanation:
may your day goes good
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Step-by-step explanation:
∠XYZ=64
∘
YQ bisects ∠ZYP
∠XYZ+∠ZYP=180
∘
(Linear Pair)
⇒64
∘
+∠ZYP=180
∘
∠ZYP=116
∘
Also, ∠ZYP=∠ZYQ+∠QYP
∠ZYQ=∠QYP (YQ bisects∠ZYP)
⇒∠ZYP=2∠ZYQ
⇒2∠ZYQ=116
∘
⇒∠ZYQ=58
∘
=∠QYP
Now, ∠XYQ=∠XYZ+∠ZYQ
⇒∠XYQ=64
∘
+58
∘
⇒∠XYQ=122
∘
Also, reflex ∠QYP=180
∘
+∠XYQ
∠QYP=180
∘
+122
∘
⇒∠QYP=302
∘
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