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?

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?

jim_thompson5910 · Answer

Let x = measure of the unknown angle

jim_thompson5910 · Answer

If x is the angle, what is the supplement?

anonymous · Answer

is it 180?

anonymous · Answer

complement is 90?

jim_thompson5910 · Answer

the angle and its supplement must add to 180

jim_thompson5910 · Answer

two complement angles add to 90

anonymous · Answer

okay

jim_thompson5910 · Answer

so if x is the angle, what is the supplement?

x + ___ = 180

what goes in the blank?

anonymous · Answer

46? idk

jim_thompson5910 · Answer

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

jim_thompson5910 · Answer

this means they add to 180

jim_thompson5910 · Answer

x+y = 180

jim_thompson5910 · Answer

solve for y:

x+y = 180

x+y-x = 180-x

y = 180 - x

jim_thompson5910 · Answer

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