Question

The sum of the angles of a triangles is $180$ degrees and angles are in the ratio $1:2:3$. Find the measure of each angle.

Answer 1

Let $x$,$2x$ and $3x$ be the angles of a triangle.

Given: Sum of all the angles in a triangle$={180}^{\circ }$

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

$\Rightarrow 6x={180}^{\circ }$

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

$\therefore$ the angles are ${30}^{\circ }$,$2\times {30}^{\circ }$ and $3\times {30}^{\circ }$

or ${30}^{\circ }$,${60}^{\circ }$,${90}^{\circ }$