The measure if two supplementary angles are 4x + 7 and 2x + 8. Find the measure of x.

27.5=x

Step-by-step explanation:

The sum of the measures of supplementary angles is 180 degrees.

so its

(4x+7) + (2x+8) = 180 degrees

combine like terms and get

6x+15=180 degrees

subtract 15 from both sides and get

6x=165

divide both sides of the equation by 6 and get

27.5=x

to check your answer, plug 27.5 back into the original equation

(4 (27.5) + 7) + (2 (27.5) + 8) = 180 degrees

180=180, so the equation is correct.