Answers:
- Sum of the interior angles = 4320
- One interior angle = 166.15
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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.