SOLUTION: the sum of the measures of two supplementary angles exceeds the difference of their measures by 116 degrees. fine the measure of each angle.

Question 657462: the sum of the measures of two supplementary angles exceeds the difference of their measures by 116 degrees. fine the measure of each angle.
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The sum of the measures of two supplementary angles is

So:

Solve the 2X2 system for and . Hint: This is already set up to solve by Elimination.

John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of the measures of two supplementary angles exceeds the difference of their measures by 116 degrees. find the measure of each angle.
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Eqution:
x + y = 180
x+y = (x-y) + 116
======================
x = 180-y
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Substitute and solve for "y":
180 = (180-y-y) + 116
-2y = -116
y = 58 degrees
----
Solve for "x":
x + 58 = 180
x = 122 degrees
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Cheers,
Stan H.
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