Question

the supplement of an angle is one-third of itself. Determine the angle and its supplement

Answer 1

Answer: supplement 180 degree

Answer 2

Answer:

Let the measure of the angle be x°

Then, the measure of its supplementary angle is (180 − x)°

According to given information,

180 - x = $\frac{1}{3}$ x

3(180 - x) = x

4x = 540

x = 135°

Supplementary angle =180° − 135°

= 45°

Thus the measure of the angle is 135° and the measure of its supplement is 45°