SOLUTION: The supplement of the angle is 150 degress less than twice the original angle. What is the measure?

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Question 370085: The supplement of the angle is 150 degress less than twice the original angle. What is the measure?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the original angle.  it's supplement is (180°- x )

Write as we Read***

(180°- x ) = 2x - 150°

solving for x

180° + 150° = 3x 

330° = 3x

110° = x, the measure of the original angle



checking our answer

180° - 110° = 220° - 150° = 70°