0
To find the number of sides in a regular polygon with a given interior angle, you can use the formula: ( n = \frac{360}{180 - \text{angle}} ). For a polygon with a 72-degree interior angle, this would be ( n = \frac{360}{180 - 72} = \frac{360}{108} ), which simplifies to ( n = \frac{360}{108} = \frac{10}{3} ), approximately 3.33. Since the number of sides must be a whole number, a polygon cannot have an interior angle of 72 degrees, indicating that the angle pertains to a different context in polygon geometry.
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Steve
BlakeAdd your answer:
Earn +20 pts
How many sides does a regular polygon have if the interior angle is 175?
The polygon would have 72 sides...
If a regular polygon has exterior angles that measure 72 degrees how many sides does the polygon have?
5 sides and it is a regular pentagon
What is the number of sides of a regular polygon with 175 interior angle?
72.
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.
What is a 73 sided polygon called?
The name of a 72 sided polygon is Heptacontrigon.
