SOLUTION: two angles are supplementary. the measure of the larger angle is 30 less than six times the measure of the smaller angle. find the measure of both angles.

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Question 329322: two angles are supplementary. the measure of the larger angle is 30 less than six times the measure of the smaller angle. find the measure of both angles.
Answer by stanbon(75887) About Me  (Show Source):
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two angles are supplementary. the measure of the larger angle is 30 less than six times the measure of the smaller angle. find the measure of both angles.
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Equations:
x + y = 180
y = 6x-30
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Substitute for "y" and solve for "x":
x + 6x-30 = 180
7x = 210
x = 30 degrees (one of the angles)
y = 150 degrees (the other angle)
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Cheers,
Stan H.