The angle measures of the three angles of a triangle are in the ratio $1:3:6$. What is the number of degrees in the measure of the largest angle?

Step-by-step explanation:

Since the angles of a triangle all have to add up to equal 180, then, given the info we are given:

1x + 3x + 6x = 180 and

10x = 180 so

x = 18

That means that the smallest angle measures 18, the middle angle measures 3 (18) which is 54, and the largest angle measures 6 (18) which is 108.

Checking our math, does 18 + 54 + 108 add up to equal 180? Yes, it does! Yay for us!