Math, asked by jyotidevi2618, 7 months ago

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 patelsaurav431
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 7419271
1

Answer:

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Step-by-step explanation:

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