Math, asked by patelarya302, 9 months ago

answer please of this question ​

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Answered by agnihotriastha147
0

Answer:

∠XYQ= 122°

Step-by-step explanation:

As we know that,

XP is a straight line.

Therefore, ∠XYP= 180° (Linear Pair Axiom)

∠XYZ= 64° (Given)

So, ∠ZYP= ∠XYP- ∠XYZ

∠ZYP= 180-64

∠ZYP= 116°

Now, YQ bisects ∠ZYP (Given)

Therefore, ∠ZYQ= ∠QYP

Also ∠ZYQ+∠QYP= ∠ZYP

Let ∠ZYQ= ∠QYP= x° .

Then, x° + x° = ∠ZYP

2x = 116°

x = 58°

Now, ∠XYQ= ∠XYZ+ ∠ZYQ

∠XYQ = 64°+58°

∠XYQ= 122°

HOPE IT HELPS:)

Answered by utsav96
0
Pls mark as brainliest answer
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