Question

If the angles of a triangle are in the ratio 2 : 1 : 3. Then find the measure of smallest angle.

Answer 1

Sum of angles of a triangle =${180}^{\circ }$

Ratio in the angles =2 : 1 : 3

Let first angle =2x

Second angle =x

and third angle =3x

$\therefore$ 2x+x+3x=${180}^{\circ }$

$\therefore$ x=$\frac{{180}^{\circ }}{6}={30}^{\circ }$

Hence, the smallest angle = x = ${30}^{\circ }$