SOLUTION: The degree measure of an angle is 15 more than twice the measure of its complement. Find the measure of its complement.

SOLUTION: The degree measure of an angle is 15 more than twice the measure of its complement. Find the measure of its complement.

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Question 246309: The degree measure of an angle is 15 more than twice the measure of its complement. Find the measure of its complement.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x=degree measurement
complementary angles add up to 90
90-x=c
2c+15=x
substitute 90-x for c
2(90-x)+15=x
180-2x+15=x
add 2x both sides
180+15=3x
195=3x
divide by 3
65=x
90-65=25=c
check
2(25)+15=65
50+15=65
65=65
ok

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