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You start with two equations

y+x=90 and 4x+y=180

and y is the given angle

So if you want to figure out what x is you have to substitute an equation for y. so it ends up being 4x+90-x=180

and then you solve for x

add the x's and subtract 90 from both sides giving you 3x=90

and then x=30

But you want to get y so you plug it back into the equation y+x=90

So your answer will equal 60.

I hope this helps :)

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Q: A supplement of an angle is four times as large as the angle find the measure of the angle?
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