How do you find the measure of the exterior angle of a polygon?
The measure of each exterior angle of a regular polygon is given by; The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.
How many degrees are in the exterior angles of any polygon?
360 degreEs
Summed, the exterior angles equal 360 degreEs. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.
What is each exterior angle of a polygon?
An exterior angle of a polygon is the angle between a side and its adjacent extended side. The sum of exterior angles formula says the sum of all exterior angles in any polygon is 360°.
Why is the exterior angle sum 360?
The sum of the interior angles of a regular polygon with n sides is 180(n-2). So, each interior angle has measure 180(n-2) / n. Each exterior angle is the supplement to an interior angle. Sum of exterior angles = n(360 / n) = 360.
How much is the exterior angle of a pentagon?
Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.
How many sides does a polygon have if the exterior angle is 36?
The sum of the exterior angles of any regular polygon is 360 degrees. The exterior angles of a regular polygon are also equal. Allow s to represent the number of sides of the polygon. Answer: The polygon has 10 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”.
How many exterior angles does a pentagon have?
72
180 degrees ×(n−2) / n, where n is the number of sides/. A regular pentagon has the following properties: Interior angles that measure 108° Exterior angles that measure 72°
How do you find the exterior angle?
Exterior Angles of a Regular Polygon with n sides: Exterior angle = 360°/n. We will use the formula of the sum of interior angles and exterior angles to answer this question. Explanation: The sum of interior angles is given by 180 (n – 2), where n is the number of sides.
What polygon has exterior angle of 60?
The number of sides of a regular polygon is whose exterior angle is 60 is a regular hexagon.