SOLUTION: The measure of the complement of an angle is 15 degrees less than four times the measure of the angle. Find the measure of both angles.

Question 164178: The measure of the complement of an angle is 15 degrees less than four times the measure of the angle. Find the measure of both angles.
Found 2 solutions by alicealc, checkley77:
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
Let:
the angle = x
so the angle's complement = 90 - x

90 - x = 4x - 15
<=> 90 + 15 = 4x + x
<=> 105 = 5x
<=> x = 105/5
<=> x = 21
so the angle = 21 degrees
the angle's complement = 90 - 21 = 69 degrees
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
4x-15+x=90
5x=90+15
5x105
x=105/5
x=21 degrees for the smaller angle.
90-21=69 degrees for the larger angle.
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