Question

Two identical regular hexagons are joined together as shown in a diagram.

Answer 1

Answer:

$x=120^o$

Step-by-step explanation:

step 1

Find the measure of the interior angle in a regular hexagon

we know that

The formula to calculate the measure of the interior angle in a regular polygon is equal to

$\frac{(n-2)180^o}{n}$

where

n is the number of sides of polygon

In this problem

n=6

so

$\frac{(6-2)180^o}{6}=120^o$

step 2

Find the measure of angle x

we know that

$x+120^o+120^o=360^o$ ----> by complete circle

solve for x

$x=360^o-240^o=120^o$