Question

The measure of three angles of a triangle is in the ratio $5:3:1$ Find the measures of these angles.

Answer 1

Let the angles of the triangle be $5y$, $3y$ and $y$.
$\therefore$ $y+3y+5y$ = ${180}^o$
$\Rightarrow$ $9y$ = ${180}^o$
$\Rightarrow$ $y$ = ${20}^o$
$\Rightarrow$ $3y$ = $3\times {20}^o$ = ${60}^o$
$\Rightarrow$ $5y$ = $5\times {20}^o$ = ${100}^o$
Therefore, angles of triangle are ${20}^o$, ${60}^o$ and ${100}^o$