What is a regular polygon with exterior angle of 72 degrees?
The number of sides is 36072=5 so it is a regular pentagon.
What is number of sides in polygon whose exterior angle 72?
Step-by-step explanation: If the exterior angle of a regular polygon is 72 degrees, then the polygon has 360/72 = 5 sides or is a regular pentagon.
What is a polygon with 72 sides called?
Properties. Convex, cyclic, equilateral, isogonal, isotoxal. In geometry, a heptacontagon (or hebdomecontagon from Ancient Greek ἑβδομήκοντα, seventy) or 70-gon is a seventy-sided polygon.
What is the number of sides of a regular polygon whose each exterior angle has a measure of 45?
Given that Exterior angle = 45° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° Exterior Angle × Number of sides = 360° 45° × n = 360° n = 360″°” /45″°” n = 8 ∴ Polygon has 8 Sides.
How many sides does a regular polygon have if each exterior angle measures 30?
As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .
Can a regular polygon have interior angles that measure 72?
The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon. Also consider the interior angles of regular polygons. There is no polygon between one with 7 sides and one with 8 sides.
What is an exterior angle of a regular pentagon?
72°
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 do you find the sides of a polygon with exterior angles?
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 sum of all exterior angles of a polygon?
The sum of all the exterior angles in a polygon is equal to 360 degrees.
How many sides does a 72 sided regular polygon have?
If the exterior angle of a regular polygon is 72 deg, then the polygon has 360/72 = 5 sides or is a regular pentagon. Correspondingly, what is the angle measure of each exterior angle on a 72 sided regular polygon?
How do you find the exterior angle of a regular polygon?
There is a formula for the exterior angle measurement of regular polygons, where n is the number of sides and m is the measure of each exterior angle: (72°) (n) = 360° : Divide both sides by 72° to isolate n. n = 5 sides, this is a pentagon.
What is the sum of the exterior angles of a pentagon?
The sum of the exterior angles of a regular polygon, irrespective of the number of sides is 360 degrees. If N is the number of sides, each exterior angle will be 360/N degrees. In the present case there 5 sides in a regular pentagon, hence each exterior = 360/5 or 72 degrees.
Why is a regular polygon an equilateral triangle?
Solution: Since the polygon is regular, the measure of all the interior angles is the same. Therefore, all its exterior angles measure the same as well, that is, 120 degrees. Since the polygon has 3 exterior angles, it has 3 sides. Hence it is an equilateral triangle.