Respuesta :

calculista

Answer:

[tex]x=120^o[/tex]

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

[tex]\frac{(n-2)180^o}{n}[/tex]

where

n is the number of sides of polygon

In this problem

n=6

so

[tex]\frac{(6-2)180^o}{6}=120^o[/tex]

step 2

Find the measure of angle x

we know that

[tex]x+120^o+120^o=360^o[/tex] ----> by complete circle

solve for x

[tex]x=360^o-240^o=120^o[/tex]

Each interior angle of a regular hexagon is 120°

The size of angle x is  120°.

We know that, each interior angle of a regular hexagon is 120°.

∴ ∠AOC = ∠BOC =120°

Let point 'O' is a complete angle.

Then, ∠O =360°

∠AOC +∠BOC + x = 360°

120° + 120° + x = 360°

x = 360° - 240°

x = 120°

Therefore, the size of angle x is 120°.

For more information:

https://brainly.com/question/13370658

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