The sum total of all exterior angles of any polygon is 360 degrees. So if you're given the
value of one exterior angle AND THE POLYGON IS REGULAR(all exterior angles are the
same size), all you have to do is divide the size of one angle into 360, and the quotient
is the number of sides.
Each exterior angle measures 8 degrees
Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
If the question is: If the exterior angle of a regular polygon is 45 degrees, how many sides does the polygon have? then the answer is:the sum of the exterior angles of any convex polygon is 360so 360/45 = 8
360 divided by the number of side is the measure of the exterior angle. 360 divided by the exterior angle measure is equal to the number of sides. 360/45=8
360/number of sides = exterior angle
A regular polygon will have 360 sides with exterior angles of 181 degrees.
360/number of sides
360/number of sides = each exterior angle
360/exterior angle = number of sides
If the exterior angle is 45 degrees then it will have 8 sides
If the exterior angle is 18 degrees then it will have 20 sides.
Each exterior angle measures 8 degrees
999999
60 degrees
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
It has 360/30 = 12 sides