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The measure of the interior angle of a regular polygon is:
theta = (n - 2) * 180 / n.
So for our case, we have:
47 = (n - 2) * 180 / n.
47n = 180n - 360
-133n = -360
n = 360/133
As 360/133 is not an integer, we conclude that there is no regular polygon with interior angle 47.
OR, if you prefer to learn graphically, consider that a triangle is the polygon with the fewest number of sides. As you increase the number of sides of a regular polygon, you increase the interior angle. Thus since the interior angle of a regular triangle is 60 degrees. Thus, in order to get an angle smaller than 60 degrees, we would need to have fewer sides than a triangle - which isn't possible.
What else can I help you with?
What is a polygon that has equal side lengths and equal angle measurements?
It's a "regular" polygon.
What is the difference between a regular polygon and polygon?
A regular polygon is one whose angle measurements are all equal and side lengths are all equal. === ===
What are the description of the characteristic of a regular polygon?
If all angle measures and side lengths of a polygon are equal, that polygon can be described as regular. (e.g. each pentagon angle=108˚)
Does each angle of a regular polygon have equal sides?
Yes
How many sides does a regular polygon have if the measure of each interior angle is equal to 172 degress?
How many sides does a regular polygon have if the measure of each interior angle is equal to 172 degress ?
In what type of regular polygon is each interior angle equal to 157.5?
A 16 sided polygon.
What is Equilateral polygon?
It is a regular polygon having all sides of equal lengths
What is having all sides equal?
A regular Polygon.
What is a paolygon with all sides the same length called?
A polygon with all sides the same length is called a regular polygon. In addition to having equal side lengths, a regular polygon also has equal angles. Examples include an equilateral triangle and a square. Regular polygons can have any number of sides, as long as they are equal in length and angle.
Explain the difference between a regular polygon and a nonregular polygon?
A regular polygon has all its angles equal AND all its sides equal. A nonregular polygon has at least one angle or one side that is different from the others.
What is a regular polygon?
A regular polygon is a closed, 2-dimensional figure consisting exclusively of line segments of equal length.A regular polygon is a polygon that is both equilateral and equiangular (having both equal side lengths and equals angle measures on all sides and corners of the polygon).Source: mathcaptain.com/geometry/types-of-polygons.htmlNote: This website helps you with all types of polygons, not just regular and irregular.
What is regulate polygon?
A regular polygon has sides of equal length and each interior angle is the same measure
