SOLUTION: the ratio of the measures of two complementary angles is 4:5.find the measures of the angles

Question 326743: the ratio of the measures of two complementary angles is 4:5.find the measures of the angles
Found 2 solutions by Fombitz, KnightOwlTutor:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
DUPLICATE See Answer 233944
Answer by KnightOwlTutor(293) (Show Source): You can put this solution on YOUR website!
The definition of a complementary angles is that the sum of the angles is equal to 90. thus we have the ratio 4:5. We then set up the problem as follows 4x + 5x=90. Then you would add (4+5)x=9x 9x=90 divide both sides by 9 and x is equal to 10. Then we go back and multiply to find the value of each angle. ie
4(x)=4(10)=40 5(x)=5(10)=50. The angle values are 40 and 50.
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