Question

Two angles are supplementary to each other. If one angle is 25 degrees more than half the other, what is the

measure of each angle to the nearest tenth of a degree?

Answer 1

Explanation:

Supplementary angles add up to 180. so if you let the second angle = x, you can define the first one as 0.5x+25.

Then you can write an equation:

x + 0.5x + 25 = 180

combine x's and subtract 25 from both sides:

1.5x = 155

divide by 1.5 to solve for x

x = 103.3

that is angle #2

for angle #1, you divide by 2 and add 25

103.3 / 2 = 51.65 + 25 = 76.65, round to the nearest tenth, 76.7

check by adding and you get

103.3 + 76.7 = 180