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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