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If each interior angle of an equiangular polygon is a 144 degree angle how many sides does this polygon have?
Since the amount of sides of a polygon is equal to the amount of angles, we have:
144x = total angles
The total measure of each angle is determined by 180(x - 2), by splitting it into several triangles. Thus:
144x = 180(x - 2)
144x = 180x - 360
360 = 36x
x = 10
This polygon has 10 sides (a decagon).
What else can I help you with?
What is equiangular polygon?
An equiangular polygon is a polygon in which all interior angles are equal in measure. This means that regardless of the number of sides, each angle maintains the same degree, making it a regular shape in terms of angular measurement. While all regular polygons are equiangular, not all equiangular polygons are regular, as they can have sides of different lengths. Examples of equiangular polygons include rectangles and squares, but also more complex shapes like certain types of stars.
What is the sum of the polygon's interior angle measures if the exterior angle of a regular polygon's 36 degree?
1440 degrees
If a polygon is equiangular then is?
All the angle have the same measure.
How do you find the interior angle degree of a polygon?
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
How do you work out an interior angle on a polygon when it has n sides?
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees. If the polygon is equiangular (ie all its angles are the same) then each of them is 180*(n-2)/n degrees.
An equilateral hexagon that is not equiangular?
if the measure of each interior angle of a polygon is 150 degrees how amny sides does it have?
What is a polygon called if each interior angle equals 60 degrees?
an equilateral triangle, or equiangular triangle
How many sides does an equiangular polygon have if each interior angle measures 156 degrees?
It will have 15 sides
What is the equiangular polygon conjecture?
Equiangular Polygon Conjecture - You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas:1.) 180 (n-2) divided by n2.) 180 - (360 / n)
What is the degree of an angle in a 12 sided polygon?
Interior angle is 150 degrees.
What is the sum of the polygon's interior angle measures if the exterior angle of a regular polygon's 36 degree?
1440 degrees
If a polygon is equiangular then is?
All the angle have the same measure.
How do you find the interior angle degree of a polygon?
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
How do you work out an interior angle on a polygon when it has n sides?
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees. If the polygon is equiangular (ie all its angles are the same) then each of them is 180*(n-2)/n degrees.
What is the number of sides of a regular polygon where each interior angle is 140 degree greater than each interior angle?
18
What if each interior angle is 165 degrees?
If each interior angle is 165 degree then it's a regular polygon with 24 sides
What is the angle sum for a 5 sided polygon?
540 degree for the interior angles
