The angles below are supplementary. What is the value of x?

Question

A pair of supplementary angles is shown. One angle measures 3x + 40, and the other angle measures 80.

(5 points)

Group of answer choices

26.7

20

40

16.6

Answer 1

To find the value of x, we can set up the equation:

3x + 40 + 80 = 180 (since supplementary angles add up to 180 degrees)

Combine like terms:

3x + 120 = 180

Subtract 120 from both sides:

3x = 60

Divide by 3:

x = 20

Therefore, the value of x is 20.