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If each interior angle of an equiangular polygon is a 144 degree angle how many sides does this polygon have?
Wiki User
∙ 14y ago
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).
Wiki User
∙ 14y ago
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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 if each interior angle is 165 degrees?
If each interior angle is 165 degree then it's a regular polygon with 24 sides
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.
Which polygon has a 30 degree interior angle?
Any polygon can have an interior angle of any measure (between 0 and 360 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
