# The angles of a triangle are in a ratio of 1:2:3. What is the measure of the largest angle?

Let $x$ be the smallest angle ,then $2 x$ the second angle and $3 x$
the largest angle then $x + 2 x + 3 x = 180 \implies 6 x = 180 \implies x = 30$
Hence the largest angle is ${90}^{o}$