How many sides does a regular polygon have if the measure of an exterior angle is 30?
12
As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .
How do you find the sides of a polygon given the exterior angle?
Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.
What is the exterior angle of a 3 sided polygon?
Sum of Exterior Angles That is a common misunderstanding. For instance, in an equilateral triangle, the exterior angle is not 360° – 60° = 300°, as if we were rotating from one side all the way around the vertex to the other side.
What is the exterior angle of a polygon?
Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
What polygon has exterior angle of 30?
Since all the angles are congruent, 30a=360 , and a=12 . Since a=s , s=12 , so the polygon has 12 sides. (This polygon has a short name: a dodecagon).
What is an exterior angle of a polygon?
Definition of exterior angle 1 : the angle between a side of a polygon and an extended adjacent side. 2 : an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.
How do you find exterior and interior angles?
The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
What is outer angle?
The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. Another example: When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are “Supplementary Angles”.
What are exterior angles of a polygon?
In a polygon, an exterior angle is formed by a side and an extension of an adjacent side. Exterior angles of a polygon have several unique properties. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.