Answer: 5
Step-by-step explanation: baddabing baddaboom
A) Add three <em>line</em> segments (AD, CF, BE) to the <em>regular</em> hexagon.
B) The area of each triangle of the <em>regular</em> hexagon is 35.1 in².
C) The area of the <em>regular</em> hexagon is 210.6 in².
<h3>How to calculate the area of a regular hexagon</h3>
In geometry, regular hexagons are formed by six <em>regular</em> triangles with a common vertex. We decompose the hexagon in six <em>equilateral</em> triangles by adding three <em>line</em> segments (AD, CF, BE).The area of each triangle is found by the following equation:
A = 0.5 · (9 in) · (7.8 in)
A = 35.1 in²
And the area of the <em>regular</em> polygon is six times the former result, that is, 210.6 square inches.
To learn more on polygons: brainly.com/question/17756657
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Answer:
m∠1=77°
m∠2=36°
m∠3=30°
Step-by-step explanation:
First, find angle 1 by adding 66 and 37 and subtracting them from 180 because there are 180 degrees in an angle.
180-(66+37)=77°
You can then find angle 2 by finding the other angle not given. You can find this angle by subtracting 77 from 180, giving you 103. To find angle 2, add 103 and 41 and subtract them from 180.
180-(103+41)=36°
You can then find angle 3 by adding the angle 103 and the angle 47, and subtracting them from 180
180-(103+47)=30°