SOLUTION: Half the measure of an angle is 25 more than one-third the measure of its supplement. Find the measure of the angle and its supplement

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Question 1147355: Half the measure of an angle is 25 more than one-third the measure of its supplement. Find the measure of the angle and its supplement
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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x%2F2 = %28180-x%29%2F3 + 25.


It is your basic and starting equation, which follows the problem's description.


To solve this equation, multiply both sides by 6. You will get


3x = 2*(180-x) + 150,


3x = 360 - 2x + 150,


3x + 2x = 360 + 150


5x      = 510


 x      = 510%2F5 = 102 degrees.    



ANSWER.  The angle's measure is 102 degrees.  Its supplement measure is  180-102 = 78 degrees.