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I'm not sure how to explain it
Join the center of the hexagon with the 2 base angles.
An equilateral triangle, with side length x, is formed.
(remark: a regular hexagon is made up of 6 equilateral triangles with equal length)
The height

forms 2 congruent right triangles with :
hypotenuse= x, side_1=x/2, and side_2=

.
From the pythagorean theorem we have:




thus, x=4.
The area of the triangle is 1/2 * 4 *

=6.93 (mm squared)
The area of the hexagon is 6* the area of the triangle = 42 (mm squared)
Answer: a. 42 (mm squared)
Answer:
see the explanation
Step-by-step explanation:
we know that
The sum of the interior angles in any polygon is given by the formula

where
n is the number of sides of the polygon
step 1
Find the sum of the interior angles in the given polygon
we have

substitute

step 2
Find the value of x
we know that

solve for x


step 3
Find the measure of each interior angle
substitute the value of x
Angle A

Angle B

Angle C

Angle D

Angle E

The correct answer is A
Hope this helped :)
Answer:
Step-by-step explanation:
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