Question

In the above diagram,
$\angle B$ : $\angle C$ = 2 : 3.$\angle C$ is ${\left(\frac{308}{5}\right)}^{\circ }$ .

• A. True
• B. False

Answer 1

The correct option is B False

$\angle B:\angle C$= 2: 3
Let, $\angle B=2x$ and $\angle C=3x$
Also, $\angle B+\angle C=103$ (Exterior angle of a triangle is equal to the sum of opposite interior angles)
$2x+3x={103}^{\circ }$
$x={\frac{103}{5}}^{\circ }$
Hence, $\angle C=3\times (\frac{103}{5}{)}^{\circ }$
$\angle C=(\frac{309}{5}{)}^{\circ }$