What is the measure of an exterior angle of a regular 7-sided polygon?Enter your answer as a decimal in the box.Round to the nearest tenth of a degree.
Accepted Solution
A:
The sum of internal angles in an n-sided polygon is 180(n-2).
In a regular 7-sided polygon, the sum of the internal angles is 180*(7 - 2) = 900° Each internal angle is 900/7 = 128.57°.
Because the sum of angles on one side of a straight line is 180°. therefore each exterior angle is 180 - 128.57 = 51.43°