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Supplementary Angles

Find the valu...

Question

Find the value of x from the given figure.

32°

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42°

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52°

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62°

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Solution

The correct option is A 32°
From the figure, the angles, 2x and (3x+20)° are co interior angles.

Hence, they are supplementary.

$\Rightarrow$ 2x + (3x+20)° = 180°
$\Rightarrow$ 2x + 3x = 180°-20°
$\Rightarrow$ 5x = 160°
$\Rightarrow$ x = 32°

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