What is the formula to find exterior angles?
The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
What is the sum of the measures of the exterior angle for a regular hexagon?
We know that the number of sides of a hexagon is, n = 6. By the sum of exterior angles formula, Each exterior angle of a regular polygon of n sides = 360° / n. Answer: Each exterior angle of a regular hexagon = 60°.
He goes on further to explain the formula by taking an 18-sided regular polygon as example and computes its exterior angle as 360/18, which is 20 degrees.
What is the sum of the exterior angle of a triangle?
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
What is the measure of an exterior angle of a regular Nonagon?
Each exterior angle of a regular nonagon has an equal measure of 40°.
What is the measure of 1 exterior angle of a regular decagon?
Properties of regular decagons
What is the measure of one exterior angle of a Heptagon?
51.43∘
So, for a regular 20-gon, each exterior angle is 360°/20 = 18°.
What is the sum of the measure of the exterior angles of a polygon with 20 sides?
Therefore 20 -gon has 20 exterior angles whose sum is 360∘ .
How many angles does a 20 sided polygon have?
In the example above, you would divide 540° by 5, because there are 5 equally sized interior angles in a regular pentagon. When you divide a polygon into triangles, the number of triangles is always 2 less than the number of sides. This means that all of the interior angles of any 20-sided polygon add up to 3240°.
What is the measure of an exterior angle of a regular polygon with 10 sides?
The regular, convex decagon is a subtle and elegant shape, with 10 exterior angles of 36° , 10 interior angles of 144° , and 10 vertices (intersections of sides).
How many sides does a polygon have if each exterior angle is 30?
12
Answer: One exterior angle of a regular 9-sided polygon is 40°.
How many sides does a regular polygon have if the measure of an exterior angle is 24 degree?
15
How many sides does a regular polygon have if the measure of each exterior angle is 60 degree?
6.
How many sides does a regular polygon has if the measure of an exterior angle is 45 degree?
8
How many sides does a regular polygon have if the measure of exterior angle is 15 degree?
24 sides
nine sides
How many sides does a regular polygon have if the measure of an exterior angle is 48 degree?
In geometry, a tetracontaoctagon (or tetracontakaioctagon) or 48-gon is a forty-eight sided polygon.
Is it possible to have a regular polygon with measure of each exterior angle is 22 degree?
No it is not possible to have each exterior angle 22 degrees.
Is it possible to have a regular polygon with an exterior angle of 25?
It is not possible to have a regular polygon each of whose exterior angle is 25°.
Is it possible to have a regular polygon with an exterior angle of 50?
No, you cannot make a regular polygon with each exterior angle of 50∘ .
Question 5: (a) Is it possible to have regular polygon with measure of each exterior angle as 22⁰? Since, answer is not a whole number, thus, a regular polygon with measure of each exterior angle as 22⁰ is not possible.
What is the minimum exterior angle of a regular polygon?
Exterior angles of a polygon are formed when by one of its sides and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. Each exterior angle of an equilateral triangle is 120 degrees and hence this the maximum possible value of the exterior angle of a regular polygon.
Is it possible to have a regular polygon in which each exterior angle is 100 degree?
Since n is not an integer, it is not possible to have a regular polygon with each interior angle equal to 100°.
Can regular polygons be described whose interior angles are 110?
It is not possible to have a regular polygon if each interior angle is 110 degree. Also, the sum of all exterior angles in a regular polygon is 360°. n x (exterior angle)= 360° [All sides in regular polygon are equal.]
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