A triangle has angle measurements related as follows:

Question

-The largest angle is 12 times the smallest angle

-The middle angle is 5 times the smallest angle

Find the measures of the angles. Provide a step-by-step discussion regarding how you would solve this problem. With each step, include all necessary equations and calculations.

Answer 1

Small angle is a

 

Next angle is 5a

 

Next angle is 12a

 

And they all have to add up to 180 degrees because that's what triangles do.

 

There are 18 a's in all, so 18a equals 180, and therefore a, your smallest angle, is 10 degrees. Which makes the next one (5a) 50, and the biggest one (12a) 120. And they add up to 180, so you're good!