Q. If the angles of a triangle ABC are in the ratio 2:3:4, find the measure of the angles A,B, C.

Dear Student,
Let common multiple be x then angle will be in the ratio of  2x:3x:4x.
Now in the triangle , sum of 3 angles will be 180^o.
$$\begin{gathered} \Rightarrow 2x+3x+4x = 180 \\ \Rightarrow 9x=180 \\ \Rightarrow x = 20° \\ Angle will be respectively 40°,60° and 80° respectively. \\ Regards \end{gathered}$$