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Why cant a regular polygon have interior angles measuring 80 degrees?
Wiki User
∙ 14y ago
The formula for the size of the interior angle for a regular polygon is 180°(n-2)/n, where n is the number of edges, i.e. a whole number. If we set this equal to 80° then we get 180°(n-2)/n=80°
180°n-360°=80°n
100°n=360°
n=3.6
which isn't a whole number. So no regular polygon can have an interior angle of size 80°.
Wiki User
∙ 14y ago
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A polygon has interior angle 165 degrees how many sides has it?
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
What is the interior angle measure if a 16 sided polygon?
The interior angles of a 16 sided polygon add up to 2520 degrees If it's a regular polygon then each interior angle measures 157.5 degrees
How many sides does a regular polygon have with one interior angle measuring 140 degrees?
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
If a regular polygon has interior angles that measure 720 degrees how many sides does the polygon have?
6
How do you measure sides of a regular polygon if each interior angle is 120?
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
How many sides does a regular polygon if its interior angles are 270?
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
Can a regular polygon have an angle measuring 150 degrees?
Yes and it will have 12 equal interior angles of 150 degrees and 12 sides
A regular polygon whose measures of its interior angles are 60?
An equilateral triangle has 3 interior angles each measuring 60 degrees
How many sides does a regular polygon have if the measure of each interior amngle is 144?
It will have 10 sides and it is a regular decagon with each interior angle measuring 144 degrees
How many sides does a regular polygon have with an interior of 178 degrees?
It has 180 sides if the interior of the (regular) polygon has a total of 178 'degrees'.
How many sides have a regular polygon of 60 degrees?
An 3 sided equilateral triangle has 3 interior angles each measuring 60 degrees
How many sides does a regular polygon have if its interior angles are all 15 degrees?
The interior angles of a regular polygon must be 60 degrees or greater.
If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
What is the sum of the polygons interior angle if the exterior angle measures 40 degrees?
Providing that it's a regular polygon then its interior angles will add up to 1260 degrees with each of its 9 interior angles measuring 140 degrees.
An interior angle of a regular polygon is found to be 108 degrees What is the regular polygon called?
Obtuse
A polygon has interior angle 165 degrees how many sides has it?
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
