Question

In the figure, ABCDEF is a regular hexagon, and its centre is point O. What is the value of x?

• A. ${80}^o$
• B. ${60}^o$
• C. ${40}^o$
• D. ${30}^o$

Answer 1

Answer: (B)

${60}^o$

Solution:

Since, $ABCDEF$ is a regular hexagon.

So, All angles are equal to ${120}^{\circ }$

$\therefore \angle CBA={120}^{\circ }$

The line joining centre $O$ and point $B$ bisects the $\angle CBA$

So, $x=\frac{\angle CBA}{2}=\frac{{120}^{\circ }}{2}={60}^{\circ }$

Hence, B is the correct option.