Question

An angle measures 106° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

37,143

Explanation:

Supplementary angles add to 180 degrees

Let x be one angle

x+106 is the other angle

x + x+106 = 180

Combine like terms

2x+106 =180

Subtract 106 from each side

2x+106-106 =180-106

2x = 74

Divide by 2

2x/2 =74/2

x = 37

The other angle is 37+106 =143