Question

An angle measures 102.8° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Supplementary angles are angles whose sum of measures is equal to 180°

1st angle = x°

2nd angle = (x+102.8)°

x°+x°+102.8°=180°

2x+102.8=180

2x= 180-102.8

x=38.6°

an angle = 38.6°

the other angle = 38.6°+102.8°=141.4°

Explanation: