SOLUTION: if a pair of complementary angles are in the ratio 4:11, find them. :)

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Question 1163833: if a pair of complementary angles are in the ratio 4:11, find them. :)
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if pair of complementary angles are in the ratio 4:11, find them. :)
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4x + 11x = 90

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing your work for you I will do this problem instead,
which is exactly like yours, only with the numbers changed.

if a pair of complementary angles are in the ratio 5:13, find them. :)
Let the complementary angles be x° and 90°-x°.

x°:(90°-x) = 5:13

The product of the means equals the product of the extreme:

(90°-x)(5) = (x°)(13)

 90∙5 - 5x = 13x
  
  450 - 5x = 13x

       450 = 18x

        25 = x

So one angle is 25° and the other is 90°-25° = 65°

Now use this as a guide to doing your problem.

Edwin