SOLUTION: THE MEASURE OF TWO COMPLEMENTARY ANGELES ARE IN RATIO 4:11. FIND THE MEASURE OF EACH.

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Question 357936: THE MEASURE OF TWO COMPLEMENTARY ANGELES ARE IN RATIO 4:11. FIND THE MEASURE OF EACH.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

*Note: Let x be the measures of one of the 'Complementary' Angles. The other would be(90-x)

questions states

%284%2F11%29+=+%28x%2F%2890-x%29%29

cross multiplying to solve for x

4(90-x) = 11x

360 - 4x = 11x

360 = 15x

24 = x

the Complementary angles would be 24 degrees and 66 degrees

checking our answer

4/11 = 24/66