sky1768
sky1768 sky1768
  • 18-12-2020
  • Mathematics
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Click the photo to find the measure of each interior angle of the regular polygon

Click the photo to find the measure of each interior angle of the regular polygon class=

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jimthompson5910 jimthompson5910
  • 18-12-2020

Answer:  120 degrees

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Work Shown:

n = number of sides = 6

i = measure of interior angle

i = 180(n-2)/n

i = 180(6-2)/6

i = 180(4)/6

i = 720/6

i = 120

Each interior angle of this regular hexagon is 120 degrees.

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Alternative Approach:

E = exterior angle

E = 360/n

E = 360/6

E = 60

Each exterior angle of this regular hexagon is 60 degrees

i+E = 180

i = 180-E

i = 180-60

i = 120

We get the same answer.

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