Question

Medal for a geometry question!!!

Use the given information to write an equation and solve the problem.

1. A supplement of an angle is six times as large as a complement of the angle. Find the measures of the angle, its supplement, and its complement.

Answer 1

@jim_thompson5910

Answer 2

Let x = the unknown angle

Answer 3

the `supplement of an angle ` means we have some other angle, say y, such that

x+y = 180
so
y = 180-x

Answer 4

agreed so far?

Answer 5

Would it be like
complementary = 90 - x
supplementary = 180 - x

90 - x = 6(90 - x)
90 - x = 540 - 6x

Answer 6

Sorry I meant
180 - x = 6(90 - x)
180 - x = 540 - 6x

Answer 7

yes the starting equation would be 180 - x = 6(90 - x)

Answer 8

And then
-360 - x = -6x
-360 = -5x
72 = x

Answer 9

Angle = 72 degrees
Complementary = 18 degrees
Supplementary = 108 degrees

Answer 10

Are those correct?

Answer 11

@jim_thompson5910

Answer 12

you have the correct answer

Answer 13

Thanks for the help :)

Answer 14

You're welcome