Mathematics

Find the angle which is four times its complement.

SOLUTION
Let the angle be $x^{\circ}.$ Then it's complement = $(4x)^{\circ}$.

We know that if the sum of two angles is equal to $90^{\circ}$ then the angles are said to be complementary.

$4x+x=90^{\circ}$

$\Rightarrow 5x=90^{\circ}$

$\Rightarrow x=90^{\circ}/5$

$\Rightarrow x=18^{\circ}$

Hence, the angle = $180^{\circ}$ and its complement = $(4\times 18^{\circ})=72^{\circ}$

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Subjective Medium Published on 09th 09, 2020
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