SOLUTION: Translate to a system of equations and solve. The difference of two supplementary angles is 74 degrees. Find the measures of the angles (in degrees). smaller angle- larg

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Question 1190807: Translate to a system of equations and solve.
The difference of two supplementary angles is 74 degrees. Find the measures of the angles (in degrees).
smaller angle-

larger angle-

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=180 def of supplementary angle
a-b=74
add them
2a=254
a=127 deg larger angle
b=53 deg smaller angle

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

    x + y = 180  degrees   (supplementary angles)

    x - y =  74  degrees   (the difference)


Add the equations.


ANSWER.  x = %28180%2B74%29%2F2 = 127 degrees;  y = 180-127 = 53 degrees.

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