Question

The angles of a triangle are in the ratio of $1:2:3$. Find the measure of each angle of the triangle

• A. ${30}^{\circ },{60}^{\circ },{90}^{\circ }$
• B. ${20}^{\circ },{60}^{\circ },{90}^{\circ }$
• C. ${30}^{\circ },{30}^{\circ },{90}^{\circ }$
• D. None of these

Answer 1

The correct option is A ${30}^{\circ },{60}^{\circ },{90}^{\circ }$

Sum of angles of a triangle is ${180}^o$.

Given angles of a triangle are in ratio $1:2:3$.

Let consider the angles as $x$, $2x$ and $3x$ respectively.

Hence,

$x+2x+3x={180}^o$

$=>6x={180}^o$

So, $x={30}^o$.

Hence other angles are $2x={60}^o$ and $3x={90}^o$.