Question

The angles of a triangle are in ratio 1:2:3. What are the angles?

• A. ${30}^0,{60}^0,{90}^0$
• B. ${50}^0,{40}^0,{90}^0$
• C. ${60}^0,{200}^0,{110}^0$
• D. ${45}^0,{45}^0,{90}^0$

Answer 1

The correct option is A ${30}^0,{60}^0,{90}^0$

Let the one angle of triangle = $X^0$
Than other angles will be $2X^0$ and $3X^0$
We know that sum of all angles of a triangle is ${180}^0$

$\therefore$ $X^0+2X^0+3X^0={180}^0$
$6X^0={180}^0$
$X^0={30}^0$

$\therefore$ Angles of triangle will be $2X^0=2\times {30}^0={60}^0$
and, $3X^0=3\times {30}^0={90}^0$

So, angles will be ${30}^0,{60}^0,{90}^0$