SOLUTION: the measure of the supplument of an angle is 60 less than 3x the measure of the complment of the angle. find the measure?

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Question 337000: the measure of the supplument of an angle is 60 less than 3x the measure of the complment of the angle. find the measure?

Answer by ankor@dixie-net.com(22740) (Show Source):
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the measure of the supplument of an angle is 60 less than 3x the measure of the
complement of the angle. find the measure?
:
Let x = the angle
we know that
(180-x) = the supplement
and
(90-x) = the complement
:
With is in mind just write an equation for the statement:
"the measure of the supplement of an angle is 60 less than 3x the measure of the complement of the angle. "
(180-x) = 3(90-x) - 60
180 - x = 270 - 3x - 60
-x + 3x = 270 - 180 - 60
2x = 30
x =
x = 15 degrees is the angle
:
:
confirm this in the statement above
180 - 15 = 3(90-15) - 60
165 = 3(75) - 60
165 = 225 - 60
165 = 165;