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Question

If $P Q ∥ R S$ , find the measure of $m$ .

$110^{o}$
$100^{o}$
$90^{o}$
$137^{o}$

A

137^{o}

B

110^{o}

C

100^{o}

D

90^{o}

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Solution

Verified by Toppr

Given
$P Q ∥ R S$
$∠ Q R S = ∠ P S R (a l t e r n a t e a n g l e s) = 43^{0}$
By angle sum property
$27^{0} + 43^{0} + m = 180^{0}$
$m = 110^{0}$

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