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for any regular polygon you can find it with the following formula, substituting 'n' for the number of sides in the shape (ex. square; 4, hexagon; 8) 180(n - 2) / n example: pentagon: 180(5-2) / 5 180(3) / 5 540 / 5 108 degrees per side
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What size are exterior angles on a regular polygon have if each interior angle is 172.5 and how many sides does it have?
Exterior angles are 7.5 There are 48 sides.
How do you find how many sides of a polygon has with the measure of an exterior angle?
The sum total of all exterior angles of any polygon is 360 degrees. So if you're given thevalue of one exterior angle AND THE POLYGON IS REGULAR(all exterior angles are thesame size), all you have to do is divide the size of one angle into 360, and the quotientis the number of sides.
What is the size of each interior angle of a regular 16 sides polygon?
Sum of external angles of a polygon = 360 degrees. So for a regular 16-gon, each EXTERNAL angles = 360/16 = 22.5 degrees. So each internal angle = 180 - external angle = 180 - 22.5 = 157.5 degrees.
What is the size of the interior angles in a 13 sided polygon?
152.307692 repeating degrees
Why cant a regular polygon have interior angles measuring 80 degrees?
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°n100°n=360°n=3.6which isn't a whole number. So no regular polygon can have an interior angle of size 80°.
What is the difference between a regular polygon and a irregular polygon?
'Regular' means that all the sides on the polygon are the same length and all angles are the same size. On an irregular polygon, the sides can be different lengths and angles can be different sizes.
If the polygon is regular what is the size of its interior angles?
equation for any regular polygon when n = number of sides: 180(n-2)/n
What is the size of all the exterior angles of a regular 12 sided polygon?
30 degrees
What is the size of an exterior Angle in a regular pentagon?
The sum of the exterior angles of a polygon is 360°. There are the same number of exterior angles as there are sides. For a regular polygon all the angles are the same size: → number_of_sides × exterior_angle = 360° → exterior_angle = 360° ÷ number_of_sides → exterior_angle = 360° ÷ 5 = 72°
How big is each angle in a regular polygon?
The answer is: Sum of Angles in a Regular Polygon = (Number of Sides - 2) * 180 Size of each of those angles = Sum of Angles / Number of Angles So for a Square it would be Sum = (4 - 2) * 180 = 360 Size of each angle = 360 / 4 = 90
What are congruent polygon?
The regular polygon is congruent
Why the size of the angle at the centre of a regular polygon cannot be 25 degrees?
Because 25 does not divide 360.
What is the difference between a reaglur polygon and a polygon?
A regular polygon: a polygon with all the same size sides and angles. A polygon: can be different. EX: isosceles triangle. Hope this helps(: ~MICHIGAN NATIVE(:
What are two prperties of a regular polygon?
All sides are equal in length. All angles are equal in size.
Is a house-shaped pentagon a regular pentagon?
No. A regular polygon has all sides the same length and all angles the same size. A regular pentagon has 5 angles each 108 degrees. A house-shaped pentagon does not have all angles the same size, so therefore it cannot be regular.
What size are exterior angles on a regular polygon have if each interior angle is 172.5 and how many sides does it have?
Exterior angles are 7.5 There are 48 sides.
If the polygon is regular what is the size of each interior angle?
this depends on what type of polygon it is.. if it is a regular triangle, then all interior angles measure up to 180 degrees. So, a triangles interior angles would measure 60 degrees each.
