Question

The angles of a triangle are in ratio $3:5:7$. Find the measure of each angle of the triangle.

Answer 1

Let the common ratio be $x$

The angles are $3x,5x,7x$

By the problem ,

$$\begin{gathered} =>3x+5x+7x={180}^0 \\ =>15x={180}^0 \\ =>x=\frac{{180}^0}{15}={12}^0 \end{gathered}$$

Therefore ,

$$\begin{gathered} 3x=3\times {12}^0={36}^0 \\ 4x=4\times {12}^0={48}^0 \\ 7x=7\times {12}^0={84}^0 \end{gathered}$$

Hence , the measure of each angle of the triangle is ${36}^0,{48}^0,{84}^0.$