Question

Two angles are complimentary. Their measures are in a ratio of 8:1.Find their measures using proportions. Show your work.

Answer 1

"Two angles are complimentary" means that one angle is x and the other is 90-x degrees


"Their measures are in a ratio of 8:1" tells us that


x/(90-x) = 8/1


Solve for x


x/(90-x) = 8/1

x = 8(90-x)

x = 720 - 8x

x+8x = 720

9x = 720

x = 720/9

x = 80

So x = 80, which means 90-x = 90-80 = 10

Therefore, the two angles are 80 and 10