Word Problem

[hujh2012]

The measure of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater than half the difference of the angles. Find the measure of each angle. There are two pairs of angles that will work as answers.
Now i'm stuck.
here are my variables:
x= large angle
y= smaller angle
I thought mabe you could solve this problem using a system of equations, so i tried to create an equation:
(x-y)/2 + 30 = x
Is this correct? I still don't know the other equation. Or the other way to get the other set of angles. Any help would be greatly appreciated.



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[mmm4444bot]

Your first equation looks good to me. :cool:

The ratio 5:3 tells you how the size of x and y compare to one another. In other words, the ratio 5:3 gives you enough information to express y in terms of x (i.e., y equals some multiple of x).

Once you are able to express y using an expression containing x, you have your second equation.

We're told that the ratio x:y is 5:3 .

x/y = 5/3