SOLUTION: If an angle is 60 less than twice it's complement find the ratio of the angle to its complement. If an angle is 30 more than twice it`s complement, find the ratio of the smaller

Question 547713: If an angle is 60 less than twice it's complement find the ratio of the angle to its complement.
If an angle is 30 more than twice it`s complement, find the ratio of the smaller to the larger angle.
Found 2 solutions by mananth, mathie123:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let angle be x
complement = 90-x
x=2(90-x)-60
x=180-2x-60
x=120-2x
3x=120
x=40
complement = 50
Ratio = 40/50 = 4/5
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Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
Let's recall what complementary angles really are:
Two angles are complement if they sum to 90 degrees.
Okay, so for the first question we will let x be the angle so the other angle must be x-60. Since they are each others complement we know:

So the two angles are 75 and 75-60=15.
This means that the ratio between the two is 75:15 which can be reduced to 5:1.

For the second question, it is very similar...
Let y be the angle so then the other angle is y-30.

So the two angles are 60 and 60-30=30.
This means that the ratio of the smaller to the larger angle is 30:60 which can be reduced to 1:2.
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