SOLUTION: The measure of an angle is 2/3 the measure of its supplement. Find the measure of the angle and its supplement. my equation for this is x + (2x)/3 = 180 and my answer is 108 an

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Question 87905: The measure of an angle is 2/3 the measure of its supplement. Find the measure of the angle and its supplement.
my equation for this is x + (2x)/3 = 180
and my answer is 108 and 72 ( is it correct?)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of an angle is 2/3 the measure of its supplement. Find the measure of the angle and its supplement.
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Let the angle be "x"; its supplement is "180-x".
EQUATION:
x = (2/3)(180-x)
x = 120-(2/3)x
(5/3)x = 120
x = 120(3/5)
x = 72 degrees (one of the angles)
180-x = 108 degrees (the other angle)
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Cheers,
Stan H.