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What are the exterior angles of a polygon equal to?
The sum of the exterior angles of a polygon for number of sides n is equal to 180 x (n - 2). For example, the sum of the exterior angles of a pentagon is equal to 180 x (5 - 2) = 540.To find a single exterior angle, divide this total by the number of sides - in this example, 540 / 5 = 108 degrees. Therefore, the exterior angle of a regular pentagon is equal to 108 degrees.Similarly, the exterior angle of a regular octagon is equal to 180 x (8 - 2) = 1080 / 8 = 135 degrees.
How do you find exterior angles in regular pentagon?
To find the exterior angles of a regular pentagon, you can use the formula for the exterior angle of a regular polygon, which is ( \frac{360^\circ}{n} ), where ( n ) is the number of sides. For a pentagon, ( n = 5 ), so the exterior angle is ( \frac{360^\circ}{5} = 72^\circ ). Each exterior angle in a regular pentagon measures 72 degrees.
What is the exterior angle of a pentagon?
Answer72 degrees to find the exterior angle of a polygon just divide 360 by the number of sides. so for a pentagon it would be:360 divided by 5 which is 72 degrees
What is the number of sides for a polygon whose exterior is 72?
If it's a regular polygon and each exterior angle measures 72 degrees then it is a pentagon which has 5 sides
What is the interior and exterior angle of a regular 100-pentagon?
There's no such shape because a pentagon has only 5 sides. If you meant a regular 100 sided polygon then the answers are:- Exterior angle: 3.6 degrees Interior angle: 176.4 degrees
If each exterior angle of a regular polygon is 72 then how many sides does the regular polygon have?
5 sides, a regular pentagon.
If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?
The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.
How many sides in an exterior angle of 18?
To find the number of sides in a polygon with an exterior angle of 18 degrees, you can use the formula: the number of sides (n) is equal to 360 divided by the exterior angle. Thus, ( n = 360 / 18 = 20 ). Therefore, a polygon with an exterior angle of 18 degrees has 20 sides.
Is a pentagon an obtuse angle?
A regular pentagon has 5 equal sides and 5 equal interior obtuse angles of 108 degrees.
How many edges does a regular polygon with an exterior angle of seventy-two degrees have?
It has 5 sides and it is a regular pentagon
How many sides does a polygon have if each exterior angle equals 45?
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
What is the size of each interior angle at each vertex of a regular pentagon?
Exterior angle = 360/Number of sides = 360/5 = 72 degrees. Interior angle = 180 - Exterior angle = 180 - 72 = 108 degrees.
