Question

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

Answer 1

$(180-x^2)=3(90-x^2)$

$\Rightarrow 180-x^2=270-3x^2$

$\Rightarrow 3x^2-x^2=270-180$

$\Rightarrow 2x^2=90$

$\Rightarrow x^2={45}^{\circ }$