SOLUTION: Find the measure of an angle whose supplement measures five times its measure. I am at a loss for how to set up the equation. I think x should = the measure the supplement s

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Question 99453: Find the measure of an angle whose supplement measures five times its measure. I am at a loss for how to set up the equation.
I think x should = the measure
the supplement should be 180-x
and the complement is 90-x.
any help is appreciated.
Answer by doukungfoo(195) (Show Source):
You can put this solution on YOUR website!
Ok first thing is to define supplementry angles. Which is: Two angles are called supplementary angles if the sum of their degree measurements equals 180 degrees.
So lets set angle one equal to x
and angle two equal to y
Now we can say

Ok now as you problem states we want to find the measure of an angle
whose supplement is five times its measure.
Like you stated the angle we want to find is x. Angle x's supplement is y.
So if the supplement (angle y) is equal to five times angle x then

Now since we know and we know we can
replace the y in with 5x like so

now we can solve for x

so if x=30 then y=150
The angles are supplementry because they add up to 180
and angle y is 5 times angle x