Question

The larger angle of two supplementary angles has a measure of 20° more than the measure of the smaller angle. find the number of degrees in the measure of the smaller angle.

Answer 1

Let smaller angle be x
Let larger angle be 20 + x
Sum of two supplementary angles = 180°
x + 20+ x = 180°
2x + 20 = 180
2x = 180-20 = 160
x = 160/2 = 80

Smaller angle = x = 80°
Larger angle = 20 + x = 20 + 80 = 100°
I hope it is helpful:D