Mathematics

# For an angle ${ x }^{ 2 }$, find :The value of ${ x }^{ 2 }$ it its supplementary angle is three times its complementary angle.

##### SOLUTION
$(180-x^{2})=3(90-x^{2})$
$\Rightarrow 180-x^{2}=270-3x^{2}$
$\Rightarrow 3x^{2}-x^{2}=270-180$
$\Rightarrow 2x^{2}=90$
$\Rightarrow x^{2}=45^{\circ}$

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Subjective Medium Published on 09th 09, 2020
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