the measure of the larger of two supplementary angles is 6 d

the measure of the larger of two supplementary angles is 6 degrees more than twice the measure of the smaller of the two angles. What is the measure of each angle?

Solution

Two Angles are Supplementary when they add up to 180 degrees

Let one angle is \'x\' and other smaller is \'y\'

Given:

x = 2y+6

Also, x+y = 180

This gives:

2y+6 +y = 180

3y = 174

y = 58

and x = 180 - 58 = 122