Question

In triangle ABC, 3 $\angle A$ = 4$\angle B$ = 6 $\angle C$. The smallest angle of the triangle is ${50}^o$

• A. True
• B. False

Answer 1

The correct option is B False

$3\angle A=4\angle B=6\angle C$

Let $\angle C=x$

Then, $\angle A=2x$, $\angle B=\frac{3}{2}x$

Sum of angles of a triangle = 180

$\angle A+\angle B+\angle C=180$

$2x+\frac{3}{2}x+x=180$

$9x=360$

$x=40$

Hence, angles of the triangle are, ${80}^{\circ },{60}^{\circ },{40}^{\circ }$