SOLUTION: an angle is four fifth of its complement what is its magnitude

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Question 653154: an angle is four fifth of its complement what is its magnitude
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
an angle is four fifth of its complement what is its magnitude
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1st: x
2nd: 90-x
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Equation:
90-x = (4/5)x
450 - 5x = 4x
9x = 450
x = 50 degrees
90-x = 40 degrees
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Cheers,
Stan H.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

an anglehighlight%28x%29 is four fifth of its complementhighlight%2890-+x%29

Question states***

 +x+=+%284%2F5%29%2890-x%29

  x+=+72+-+%284%2F5%29x

  %289%2F5%29x+=+72

    +x+=+72%285%2F9%29

           x = 40°



and...(it's complement is 50°)

 40+=+%284%2F5%29%2850%29+=+40