Question

In the given figure, find the value of $x$.

• A. ${90}^{\circ }$
• B. ${120}^{\circ }$
• C. ${310}^{\circ }$
• D. ${250}^{\circ }$

Answer 1

The correct option is C ${310}^{\circ }$

The given figure is,


$\text{We can observe from the figure that,}$
$\text{on combining}{x}^{\circ }\text{and}{50}^{\circ }\text{, a full}$ $\text{angle (}{360}^{\circ }\text{) is obtained.}$

$\therefore$ $x^{\circ }+{50}^{\circ }={360}^o$

$\Rightarrow$ $x^{\circ }={360}^{\circ }-{50}^{\circ }$
$\Rightarrow$ $x^{\circ }={310}^{\circ }$

$\therefore$Value of $x={300}^{\circ }$

So, option, ${300}^{\circ }$ is correct.