Find The Measure Of One Exterior Angle Of A Regular Polygon. The polygon shown above is regular and it has 7 sides. Find the number of sides of the polygon.
The measure of single exterior angleS sum of exterior angleSnumber of sides of the polygonn S Sn. 720 6 120. 360 The measure of each exterior angle of a regular n-gon is.
But first lets do it the hard way.
One important property about a regular polygons exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360. Ex 32 2 Find the measure of each exterior angle of a regular polygon of i 9 sidesWe know that Exterior angle 360𝑛 where n is the number of sides of regular polygon Given Number of sides of a regular polygon 9 Exterior angle 360 9 40 Ex 3. Number of sides Sum of all exterior angles of a polygon. The exterior angles of a regular polygon are also equal.