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Each exterior angle of a regular polygon is 108 degrees How many sides does the polygon have?
It can't exist:
The sum of the exterior angles of any polygon is 360o.
For a regular polygon:
exterior_angle x number_of_sides = 360o
→ number_of_sides = 360o ÷ exterior_angle
→ number_of_sides = 360o ÷ 108o
= 31/3
but the number of sides number be a whole number, ergo a regular polygon with an exterior angle of 108o cannot exist.
If you meant: Each interior angle of a regular polygon is 108o; how many sides doe the polygon have?
Then:
exterior_angle + interior_angle = 180o
→ exterior_angle = 180o - interior_angle
= 180o - 108o
= 72o
→ number_of_sides = 360o ÷ 72o
= 5
The polygon is a regular pentagon.
What else can I help you with?
Can a regular polygon have an exterior angle with 100 degrees?
No.
What polygon has the exterior angle measurement of 9?
If each exterior angle is 9 degrees then it is a regular 40 sided polygon.
What is the exterior angle of a regular polygon with 24 sides?
Each exterior angle is 15 degrees
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What is the exterior angle of a regular 24 sided polygon?
Each exterior angle measures 15 degrees
Can a regular polygon have an exterior angle with 100 degrees?
No.
What is the interior and exterior angle of a regular polygon?
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
What polygon has the exterior angle measurement of 9?
If each exterior angle is 9 degrees then it is a regular 40 sided polygon.
What is the exterior angle of a regular polygon with 24 sides?
Each exterior angle is 15 degrees
What is the exterior angle of a 30 sided polygon?
Providing that it's a regular polygon then each exterior angle will measure 12 degrees.
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What degree is a regular exterior angle of a 5-sided polygon?
Each exterior angle is 72 degrees
What is the exterior angle of a regular 24 sided polygon?
Each exterior angle measures 15 degrees
What is an exterior angle of a regular 10 sided polygon?
Each exterior angle measures 36 degrees
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 the measures of an interior angle and an exterior angle of a regular polygon with 6 sides?
Interior angle = 120 degrees Exterior angle = 60 degrees
What is the exterior of a regular polygon with 24 sides?
Each exterior angle is 15 degrees
