One angle measures 54 more degrees than 3 times another angle. The angles are supplementary. What are their measures

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01-03-2016
Mathematics

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One angle measures 54 more degrees than 3 times another angle. The angles are supplementary. What are their measures

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SmarticalParticals SmarticalParticals · Answer 1 · 2016-03-01T04:07:20+01:00

SmarticalParticals SmarticalParticals

01-03-2016

The angles are supplementary so they add up to 180 degrees. The equation would be

x + 3x + 54 = 180
4x = 180-54
4x = 126
x = 31.5 degrees

1st angle is 31.5 degrees
2nd angle is 3x+54 = 148.5 degrees.

To check 148.5+31.5 = 180

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