Question

In the figure, two identical regular hexagons are placed side by side as shown. Can another identical hexagon be placed to fill the angle z without leaving any gap?

• A. Yes
• B. No
• C. Can't say
• D. Data insufficient.

Answer 1

The correct option is A Yes

Angle of regular hexagon $=120°$

So, $x=y=120°$

and, $x+y+z=360°$

So, $z=360°-x-y=120°$

Since $z=120°=$ Angle of regular hexagon.

So the correct answer is $Yes$.

Hence option ${}^{\prime }{A}^{\prime }$ is the answer.