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

Algebra ->  Angles -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Your angle is 70degrees.
If that angle is x, we have:
x+%2B+%2890-x%29+%2B%28180-x%29=200

x+%2B+%2890%2B180%29+%2B%28-x-x%29=200
x+%2B+270+-2x+=200
270+-x+=200
270+-200+=+x

++70+=+x+
an angle that is complementary to angle x+
+90+-+70+=+20
an angle that is supplementary to angle x+
+180+-+70+=+110
Their sum:
70+%2B+20+%2B+110=200

Answer by Mathtut(3670) About Me  (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
:
highlight%28z=70%29degrees
:
x=20
:
y=110