Question

The angle of a triangle are is the ratio $2:3:7$. Find the measure of the smallest angle.

Answer 1

Let the angle of triangle be 2x , 3x , & 7x

By angle sum property:-

$2x+3x+7x={180}^{\circ }$

$\Rightarrow 12x={180}^{\circ }$

$\Rightarrow x=15$

$2x=2\times 15={30}^{\circ }$ $3x=3\times 15={75}^{\circ }$

$7x=7\times 15={105}^{\circ }$

Smallest Angle$={30}^{\circ }$