It is given that 2 XYZ = 64° and XY is produced
to point P. Draw a figure from the given
information. If ray YQ bisects ZZYP, find Z XYQ
and reflex ZOYP.
please show me the diagram
Answers
Answered by
2
Answer:
ANSWER
Given,
∠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∘

Step-by-step explanation:
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Answered by
1
Answer:
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Step-by-step explanation:
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