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Condition for Two Lines to Be Parallel

If ∠ POQ = ...

Question

If $∠ P O Q = 120^{o}$ , find $∠ P R Q$ .

30^{o}

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45^{o}

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60^{o}

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120^{o}

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Solution

The correct option is C $60^{o}$
In $□ O P R Q$ ,
$∠ P O Q + 90^{o} + 90^{o} + ∠ P R Q = 360^{o}$ ...Angle sum prperty of quadrilateral

$\Rightarrow ∠ P R Q = 360^{o} - 180^{o} - 120^{o} = 60^{o}$ .

So, option C is correct.

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∠ A

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∠ B

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∠ A

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∠ B

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