Question

One angle is equal to three times its supplement. Find the measure of each angle

Answer 1

SoluTion :-

Let one angle be x

The other angle = 3x

∵ Supplementary angles = 180°

$\rm {\therefore x + 3x = 180^{o}}\\\\\\\rm {\Rightarrow 4x = 180^{o}}\\\\\\\rm {\Rightarrow x=\frac{180}{4} }\\\\\\\rm {\Rightarrow x = 45^{o}}\\\\\\\\\\\sf {1st \ angle = 45^{o}}\\\\\\\sf {2nd \ angle = 180^{o}-45^{o}=135^{o}}$

Verification :-

(45° × 3) + 45°

= 135° + 45°

= 180°