Question

An angle measures 67.8° more than the measure of a supplementary angle. what is the measure of each angle?

Answer 1

x=the measure of first angle.
Supplementary angle of an angle x=180º-x   (the measure of the second angle)

We solve this equation:

x+67.8=180-x
2x=180-67.8
2x=112.2
x=112.2/2
x=56.1

Supplementary angle of 56.1º=180º-56.1º=123.9º

answer: our angles would be 56.1º and 123.9º