The measures of two supplementary angles are (2x + 10) ° and (6x + 8) °.

What is the measure of the smaller angle?

smaller angle is 50.5 degrees

Step-by-step explanation:

supplementary angles when added together = 180 degrees

(2x + 10) + 6x + 8 = 180

combine like terms

8x + 18 = 180

move the 18 over by subtraction

8x = 162

divide by 8 to get x by itself

x = 20.25

so plug in to find smaller angle

2 (20.25) + 10 = 50.5

6 (20.25) + 8 = 129.5