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LiRa [457]
3 years ago
15

Given a regular 26 sided polygon, complete the following statements. ​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answers:

  • Sum of the interior angles = 4320
  • One interior angle = 166.15

=======================================================

Work Shown:

n = number of sides = 26

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(26-2)

S = 180(24)

S = 4320 degrees is the sum of the interior angles.

i = measure of one interior angle of a regular polygon

i = S/n

i = 4320/26

i = 166.1538 approximately

i = 166.15 degrees is the approximate measure of each interior angle.

Side note: The formula to determine the interior angle i only works for regular polygons. This is because each angle is the same measure.

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