SOLUTION: Two angles are complementary. One angle measures six degrees less than five times the other angle. Find the measure of the angles.

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Question 265138: Two angles are complementary. One angle measures six degrees less than five times the other angle. Find the measure of the angles.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X=5Y-6
X+Y=90
(5Y-6)+Y=90
6Y-6=90
6Y=90+6
6Y=96
Y=96/6
Y=16 DEGREES FOR THE SMALLER ANGLE.
X=5*Y-6
X=5*16-6
X=80-6
X=74 DEGREES FOR THE LARGER ANGLE.
PROOF:
74+16=90
90=90