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I presume you mean:
What is the size of each interior angle of a regular polygon if their total is 3600o?
The answer to this is 1637/11o ~= 163.6o.
The total of the interior angles of a polygon is
total = 180o x (number_of_sides - 2)
⇒ number_of_sides = (total ÷ 180o) + 2
⇒ number_of_sides = (3600o ÷ 180o) + 2
⇒ number_of_sides = 22
total = interior_angle x number_of_sides
⇒ interior_angle = total ÷ number_of_sides
⇒ interior_angle = 3600o ÷ 22
⇒ interior_angle = 1637/11o ~= 163.6o
What else can I help you with?
If the sum of interior angles polygon equals 4320 degrees what is the measure of exterior angle of the polygon?
2280 :S
What is the total number of diagonals in a regular polygon with an interior angle of 120 degrees?
If it is a regular polygon with each interior angle of 120 degrees then it is an hexagon which will have 0.5((6^2)-3*6) equals 9 diagonals
What does the sum interior angle of a polygon equals?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
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 interior angle of a twenty-four-sided polygon?
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
If the sum of the interior angle of a polygon equals 4320 degrees what is the measure of each interior angle of the polygon?
Im stuck on that too :/
If the interior angle of a regular polygon equals 120 degrees what shape is the polygon?
120
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.
What polygon has an interior angle of 144 degrees?
Any polygon can have an interior angle of 144 degrees. The measurement of an interior angle of a decagon is 144 degrees.
If the sum of interior angles polygon equals 4320 degrees what is the measure of exterior angle of the polygon?
2280 :S
What polygon has an interior angle of 108 degrees?
A Pentagon has an interior angle of 108 degrees.
What is the total number of diagonals in a regular polygon with an interior angle of 120 degrees?
If it is a regular polygon with each interior angle of 120 degrees then it is an hexagon which will have 0.5((6^2)-3*6) equals 9 diagonals
What does the sum interior angle of a polygon equals?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
What is the Interior angle of a polygon with 15 sides?
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
What is a polygon called if each interior angle equals 60 degrees?
an equilateral triangle, or equiangular triangle
What is the sum of a polygon if the measure of the interior angle is 40 degrees?
If an interior angle is 40 degrees, the polygon must be irregular since the smallest angle for a regular polygon is 60 degrees. Since it is irregular, the polygon can have any number of sides.
What degrees is a interior angle of a 15 sided polygon?
Providing thar it is a regular 15 sided polygon then each interior angle will be 156 degrees
