Question

how do i set up this equation:

the measure of an angle's supplement is 23 degrees more than twice that of its complement. what is the measure of the angle's complement?

Answer 1

Let x = measure of the unknown angle

Answer 2

If x is the angle, what is the supplement?

Answer 3

is it 180?

Answer 4

complement is 90?

Answer 5

the angle and its supplement must add to 180

Answer 6

two complement angles add to 90

Answer 7

okay

Answer 8

so if x is the angle, what is the supplement?

x + ___ = 180

what goes in the blank?

Answer 9

46? idk

Answer 10

let y be the other angle, so x and y are supplements

Answer 11

this means they add to 180

Answer 12

x+y = 180

Answer 13

solve for y:

x+y = 180

x+y-x = 180-x

y = 180 - x

Answer 14

So if x is the angle, then 180-x is the supplement (to x)