Question

A regular polygon has 7 sides. the measure of each interior angle is_____? and the measure of each exterior angle is_____? (7-2) 180=900/7

Answer 1

900/7 = each interior angle
for exterior angle, just take 180 - interior angle

Answer 2

Interior:
In radians, (1-2/n) x pi, n = 7
In degrees, 180 - 360/n degrees, n = 7

Answer 3

You can also think of the exterior angles all adding up to 360 degrees (or 2 pi) as you go around the polygon, you start and finish in the same direction. Therefore you can also figure out the exterior angle by dividing 2pi/n or 360/n for radians or degrees respectively.

Answer 4

The extra geeky answer ;o)

Answer 5

find x and y