Question

The difference of two supplementary angles is 74. Find the measures of the two angles.

Answer 1

Explanation:

Sum of supplemental angles is 180°

x+y = 180

x-y = 74

Add the equations together to eliminate the y terms, then solve for x.

x+y = 180

x-y = 74

————-

2x = 154

x = 77°

y = 180-x = 103°