Question

The angles of a triangle are in the ratio of $1:3:5$. Find the measure of each one of the angles.

Answer 1

Let the ratio be $x$

So, the angles are $x,3x,5x$

$x+3x+5x=180°$ (by angle sum property)

$$\begin{gathered} 9x=180° \\ x=\frac{180°}{9}=20° \end{gathered}$$

Hence, first angle $x=20°$

Second angle $3x=3(20°)=60°$

Third angle $5x=5(20°)=100°$