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

work out the size of angle x

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°.

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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

where

n is the number of sides of polygon

In this problem

n=6

so

step 2

Find the measure of angle x

we know that

----> by complete circle

solve for x

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40