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.

Question
Answer:
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°

Answer: 51.4°  (nearest tenth)
solved
general 11 months ago 7474