Question

Angles of a triangle are in the ratio 2 : 4 : 3. The measure of the smallest angle of the triangle is ________.

Answer 1

Let the measure of three angles of the triangle be 2x, 4x and 3x.

Now,

$2x+4x+3x=180°$ (Angle sum property of triangle)

$\Rightarrow 9x=180°$

$\Rightarrow x=\frac{180°}{9}=20°$

$\therefore 2x=2\times 20°=40°,4x=4\times 20°=80°$ and $3x=3\times 20°=60°$

So, the measure of the angles of the triangle are 40º, 80º and 60º.

Thus, the measure of the smallest angle of the triangle is 40º.

Angles of a triangle are in the ratio 2 : 4 : 3. The measure of the smallest angle of the triangle is ___40º___.