SOLUTION: Find the measure of an angle, if six times its complement is 12° less than it's supplement

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Question 1084672: Find the measure of an angle, if six times its complement is 12° less than it's supplement
Found 2 solutions by MathLover1, Fombitz:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Two angles are complementary when they add up to degrees.
Two angles are supplementary when they add up to degrees.
........1)-> complement of is
........2)->supplement of is
if six times its complement is 12° less than it's supplement , we have





->the measure of your angle
then
-> complement of is
->supplement of is
check:






Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


So then subtracting,


and

or

Substituting,


Solve for C, then use either equation to solve for S.

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