SOLUTION: I have an angle that is complementary to angle x on one side, and supplementary to angle y on the other. All three angles added together equal 200 degrees. What is the measure of t

Question 178946: I have an angle that is complementary to angle x on one side, and supplementary to angle y on the other. All three angles added together equal 200 degrees. What is the measure of the angle?

Found 2 solutions by MathLover1, Mathtut:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Your angle is .
If that angle is , we have:

an angle that is complementary to angle

an angle that is supplementary to angle

Their sum:

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
let angles be z,x,and y
:
z+x=90........eq 1
z+y=180.......eq 2
z+x+y=200.....eq 3
:
rewrite eq 1 to x=90-z and eq 2 to y=180-z and plug those values into eq 3
:
z+90-z+180-z=200
:
-z=-70
:
degrees
:

:

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