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 = [tex]\frac{360}{6}=60^o[/tex]
In the resultant figure,
[tex]\angle x+\angle y+\angle z=360^o[/tex]
As, [tex]\angle y=\angle z=60^o[/tex]
So,
[tex]\angle x+60^o+60^o=360^o[/tex]
[tex]\angle x+120^o=360^o[/tex]
[tex]\angle x=360^o-120^o[/tex]
[tex]\angle x=240^o[/tex]
Therefore, the value of 'x' is, 240°
