If the supplement of an angle is three times its complement, then angle is:

40^{o}

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35^{o}

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50^{o}

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45^{o}

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Solution

The correct option is D $45^{o}$
Let the $∠ x$ be the required angle
Thus, according to the question
$180 - x = 3 (90 - x)$
$=> 180 - x = 270 - 3 x$
$=> 2 x = 90$
$=> x = 45$

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If the supplement of an angle is three times its complement, then angle is:

20^{o}

45^{o}

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