SOLUTION: an angles measure is 43 degrees less than 6 times the measure of its complement. find the measure of both angles.

Question 252586: an angles measure is 43 degrees less than 6 times the measure of its complement. find the measure of both angles.
Found 2 solutions by checkley77, drk:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x=6y-43
x+y=90
(6y-43)+y=90
6y-43+y=90
7y=90+43
7y=133
y=133/7
y=19 ans for the smaller angle.
x=6*19-43
x=114-43
x=71 ans.
Proof
19+71=90
90=90
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Let X be an angle.
X = 6(90-X) - 43
X = 540 - 6X - 43
7X = 497
X = 71.
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