Question

If the angle of a triangle are in the ratio of $2:3:4$, find the there angles

• A. ${40}^o,{60}^o,{80}^o$
• B. ${20}^o,{40}^o,{60}^o$
• C. ${30}^o,{60}^o,{90}^o$
• D. ${90}^o,{180}^o,{360}^o$

Answer 1

The correct option is A ${40}^o,{60}^o,{80}^o$

Let the angles of the triangle be $2x,3x,4x$.

Then

$2x+3x+4x={180}^o$ [ Since sum of the interior angles of a triangle be ${180}^o$]

or, $9x={180}^o$

or, $x={20}^o$.

Then the angles of the triangle be ${40}^o,{60}^o,{80}^o$.