Question

The measures of the angle of a triangle are in the ratio $2:3:4$. Find the smallest angle.

Answer 1

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

Let the angles be $2x,3x,4x$

Sum of the angles $={180}^{\circ }$

$2x+3x+4x={180}^{\circ }$

$9x={180}^{\circ }$

$x={20}^{\circ }$

Thus, the angles of the triangle will be ${40}^{\circ },{60}^{\circ },{80}^{\circ }$.

The smallest angle is ${40}^{\circ }$.