SOLUTION: Two angles are supplementary. One angle is 240 less than three times the other. Find the measures of each angle.

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Question 455348: Two angles are supplementary. One angle is 240 less than three times the other. Find the measures of each angle.
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"Two angles are supplementary. One angle is 240 less than three times the other. Find the measures of each angle."

x = one angle
3x - 240 = other angle

x + 3x - 240 = 180
4x - 240 = 180 {combined like terms}
4x = 420 {added 240 to both sides}
x = 105 {divided both sides by 4}
3x - 240 = 75 {substituted 105, in for x, into 3x - 240}

105 and 75 are the two angles
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