SOLUTION: I have this question on a homework sheet for review. We covered this topic earlier in the year but I cant remember the steps to take to solve. The question is "An angle is half the

Question 256495: I have this question on a homework sheet for review. We covered this topic earlier in the year but I cant remember the steps to take to solve. The question is "An angle is half the size of its compliment. What is the measure of the larger angle." I tried X+1/2=90 and got x=36. I was told that was wrong is the correct answer 54? Thanks!
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"An angle is half the size of its compliment. What is the measure of the larger angle."
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Let the angle be "x".
Its complement is 90-x
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Equation:
x = (1/2)(90-x)
x = 45 - (x/2)
(3/2)x = 45
x = 30 degrees
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The complement is 90-30 = 60 degrees.
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Cheers,
Stan H.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
So where are your notes? Did you tear the pages out the book and eat them?
Neither 36 nor 54 is correct.
It should have been x+1/2x=90
3/2*x=90
3x=180
x=60
x/2=30
How did you get x= 36 from X+1/2=90 ?

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