Question

In two supplementary angles, the measure of one angle is 6 more than twice the measure of the other. The measures of these two angles are?

Answer 1

Let a and b be the two angles.

Since they're supplementary, a + b = 180 --> a = 180 - b
According to the second part of the question, a = 2b + 6

Combining the two equations:
180 - b = 2b + 6
3b = 174
b = 58

Since a = 180 - b, a = 180 - 58 = 122

The angles are 58 and 122.