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In any polygon the sides can all be joined to the middle by lines coming from the corners. Each pair of these lines, and the side of the ploygon which joins them makes a triangle.
In an X-sided polygon there will be X triangles
The angles of a triangle always add up to 180º.
Multiply the number of sides by 180 and you'll get a certain figure = 180X.
The centre of the polygon where the triangles all meet is a circle, so we need to subtract that from the 180X. A circle is 360º.
So the formula which works out the angle sum of a polygon is (180X - 360)º.
If the polygon is regular, then the individual angles will be ((180X - 360) / X)º.
What else can I help you with?
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
Sum of the angle Of a polygon is 22 right angle how many sides does a polygon has?
44
What polygon has an angle sum of 2700 degrees?
polygon with 17 sides
What polygon has a interior angle sum of 4860?
A 29-sided polygon.
What is the angle sum for a twenty sided polygon?
== ==
Which polygon will have the largest angle sum?
A dodecagon
What is the angle sum for a thirteen sided polygon?
The question has been asked "What is the angle sum of a thirteen sided polygon?" The answer to this question is 1980 degrees. The sum of the interior angles of a polygon of n sides = 180(n - 2)
How do you calculate the angle sum of a 9-side polygon?
The formula for calculating the interior angles for any polygon is:- (number of sides -2)*180 = sum of interior angles So: (9 -2)*180 = 1260 degrees
What is the sum of the exterior angle of a regular polygon?
it depends what kind of polygon but the sum of the angles will equal a # divisible by 90
What is the sum of the polygon's interior angle measures if the exterior angle of a regular polygon's 36 degree?
1440 degrees
What is the angle sum for a 9 sided polygon?
1620
