# The angles of a triangle have the ratio 2:3:4. What is the measure of the smallest angle?

Let $2 x$ the smallest angle , $3 x$ the second angle , $4 x$ the third angle hence we have that $2 x + 3 x + 4 x = 180 \implies 9 x = 180 \implies x = 20$
The smallest angle is ${40}^{o}$