Question

The angles of a triangle are in the ratio $2:3:4$. Find the angles of the triangle.

• A. ${40}^0,{60}^0,{80}^0$
• B. ${20}^0,{40}^0,{120}^0$
• C. ${30}^0,{60}^0,{90}^0$
• D. ${80}^0,{20}^0,{80}^0$

Answer 1

The correct option is A ${40}^0,{60}^0,{80}^0$

Ratio of angles of triangle $=2:3:4$
Let the angles be $2x,3x,4x$
Sum of angles $={180}^o$
$2x+3x+4x=180$
$9x=180$
$x={20}^{\circ }$
Thus, the angles of the triangle are, ${40}^{\circ },{60}^{\circ },{80}^{\circ }$