Question

In the given figure, two identical regular hexagons are placed side by side as shown.

Find the value z.

• A. ${60}^o$
• B. ${90}^o$
• C. ${120}^o$
• D. ${160}^o$

Answer 1

The correct option is C ${120}^o$

In given figure two regular hexagons are placed side by side

We know that internal angle of hexagon $=\frac{n-2}{6}\times 180={120}^o$

$\therefore \angle x={120}^o$ and $\angle y={120}^o$

But $\angle x+\angle y+\angle z={360}^o$

$\Rightarrow 120+120+z=360\Rightarrow z=360-240={120}^o$