9/7/2023 0 Comments X sides polygon![]() Sum of Interior angles of Polygon(IA) = (n-2) x 180 The sum of the measures of the interior angles of a polygon with n sides is given by the general formula (n–2)180. Interior angle + corresponding exterior angle = 180 0 The sum of the measures of all the exterior angles of a polygon is 360°. Angle Q is an interior angle of quadrilateral.Įxterior Angle: An angle outside the polygon formed by one of its sides and the extension of an adjacent side is called the exterior angle of the quadrilateral.in the above quadrilateral angle ADZ, YUA, YUX, and QUX are the exterior angles. ![]() Interior Angle: An angle inside the polygon at one of its vertices is called the interior angle. ![]() Some of the regular polygon formulas related to polygons are: Here is the list of some of the regular polygons with the number of polygon sides, shapes, and measures of its interior angles. Polygons with interior angles greater than 180 0 are called concave polygons. Polygons with interior angles less than 180 0 are called convex polygons. Polygons with different sizes and different interior angles are called irregular polygons. Polygons whose sides and angles are of equal lengths are called regular polygons. In this article let us study what is polygon and regular polygon formulas.Īs we know what is the meaning of polygon let us understand different types of polygons. There are no curved lines.īut in figure the shape is not a polygon because it is not fully connected and also has curved lines and such shapes that have curves are called a closed curve that is not a polygon. In figure you can see that all the shapes are polygons, as all the shapes are drawn joining the straight lines only. (Image to be added soon)(Image to be added soon)(Image to be added soon) The below figures show some of the examples of polygons or polygonal curves( a closed curve that is not a polygon). A segment whose endpoints are nonadjacent vertices is called a diagonal. Segments that share a vertex are called adjacent sides. The points at which the segments meet are called vertices. The segments are referred to as the sides of the polygon. Triangles, square, rectangle, pentagon, hexagon, are some examples of polygons. ![]() A two-dimensional closed figure bounded with three or more than three straight lines is called a polygon.
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