In the figure below, lines RS and PQ intersect each other at point O. If PQ isn't perpendicular to RS, which of the following is/are true?

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Solution

The correct options are
A

C

Here $∠ P O S = ∠ R O Q$ - Vertically opposite angles

And, $∠ S O Q = ∠ P O R$ - Vertically opposite angles

$∠ P O S = ∠ P O R$ - Adjacent angles
$∠ S O Q = ∠ R O Q$ - Adjacent angles

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∠ P O S = 90^{\circ}

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