SOLUTION: angle x and y are supplementary. if angle y is 32 degrees more than angle x, find angle y

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Question 702282: angle x and y are supplementary. if angle y is 32 degrees more than angle x, find angle y
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Supplementary angles must add up to 180 degrees.

So we have:

Eq 1: x%2By=180 given

Eq 2: y=32%2Bx given

Let's substitute the value for y in Eq 2 into Eq 1:

x%2B%2832%2Bx%29=180

2x%2B32=180

2x=148

x=74

Let's substitute this value for x into Eq 2:

y=32%2Bx

y=32%2B74

y=106

So angle x is 74 degrees, and angle y is 106 degrees.

Check it, it works!

I hope this helps! Keep practicing! :)

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