Question

Two identical hexagons are joined together as shown on the diagram.

Answer 1

Answer : The value of 'x' is, 240°

Step-by-step explanation :

As we know that a circle make an angle of 360°.

As we are given that the two hexagon are joined together to form a resultant figure.

In hexagon, there are 6 sides and 6 angles.

Each interior angle of hexagon = $\frac{360}{6}=60^o$

In the resultant figure,

$\angle x+\angle y+\angle z=360^o$

As, $\angle y=\angle z=60^o$

So,

$\angle x+60^o+60^o=360^o$

$\angle x+120^o=360^o$

$\angle x=360^o-120^o$

$\angle x=240^o$

Therefore, the value of 'x' is, 240°