Thread: HELP!!! ratios! ack!!

I reallly wanna go to bed but I need to get my homework done and I'm absolutely stuck on this one.

"The measures 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."

I seriously cannot make left or right of this question. Please help!!!

Originally Posted by A dumb person

I reallly wanna go to bed but I need to get my homework done and I'm absolutely stuck on this one.

"The measures 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."

I seriously cannot make left or right of this question. Please help!!!

Let represent the smaller angle, and let represent the larger angle.

Thus, we see that

Now, the larger angle is 30 more than half of the difference of the angles. This means that

We can now solve this system of equations:



Try to take it from here. It shouldn't be that bad.

I hope this makes sense!

--Chris