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Question

In figure, if $A B ∥ C D$ , then find the value of $x$

$86^{o}$
$56^{o}$
$36^{o}$
$16^{o}$

A

86^{o}

B

56^{o}

C

36^{o}

D

16^{o}

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Solution

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Given, $A B ∥ C D$
$∠ P R G = 3 x$ .......... (Corresponding angles)
$∠ P R G + 2 x = 180^{o}$ (Linear pair)
$3 x + 2 x = 180^{o}$
$\Rightarrow x = 36^{o}$

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