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How do you find the number of sides a regular polygon has if the interior angles equals 144?
Wiki User
∙ 12y ago
Construct a 144° angle with two equally long lines. Keep on adding sides until you come back to the beginning. Count the sides.
Mathematicaly you could divide a full circle with the value of the difference between the interior angel and a straight line (180°)
So: 360° / (180° - 144° ) = 10
You will in either case get decagon (ten sided figure)
Wiki User
∙ 12y ago
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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.
How many sides does a regular polygon have if the sum onf the interior angles equals 2700 degrees?
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
How can you prove that the sum of exterior angles of a polygon is 360 degrees?
With any regular polygon it is 180 minus interior angle times number of sides equals 360 degrees
A 13 sided polygon equals how many degrees for its interior angles?
A 13 sided polygon also called a triskaidecagon or tridecaogn has a total 1980 degrees for its interior angles.
What is the Number of sides of a regular polygon if one angles has degree measure 144?
A relevant general formula is that the sum of the interior angles of a regular polygon equals 180(n-2), where n is the number of sides. Also, all of the interior angles of a regular polygon are equal. Therefore, 180(n - 2) = 144n in the instance given, or: 180n - 360 = 144n, or (180 - 144)n = 360, or 36n = 360, or n = 10.
If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
A Regular Polygon
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.
How many sides does a regular polygon have if the sum onf the interior angles equals 2700 degrees?
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
What equals the sum of the angles in the polygon?
If the polygon has n sides, the sum of its interior angles is 180*(n-2) degrees.
What is a polygon called if the sum of its interior angles equals 720?
It is a hexagon.
How can you prove that the sum of exterior angles of a polygon is 360 degrees?
With any regular polygon it is 180 minus interior angle times number of sides equals 360 degrees
If the interior angle of a regular polygon equals 120 degrees what shape is the polygon?
120
A 13 sided polygon equals how many degrees for its interior angles?
A 13 sided polygon also called a triskaidecagon or tridecaogn has a total 1980 degrees for its interior angles.
How many sides does a polygon have if the sum of its interior angles is equal to the sum of its exterior angles?
The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.
What is a polygon called if the sum of its interior angles equals 180 degrees?
A triangle
If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
What is the Number of sides of a regular polygon if one angles has degree measure 144?
A relevant general formula is that the sum of the interior angles of a regular polygon equals 180(n-2), where n is the number of sides. Also, all of the interior angles of a regular polygon are equal. Therefore, 180(n - 2) = 144n in the instance given, or: 180n - 360 = 144n, or (180 - 144)n = 360, or 36n = 360, or n = 10.
