Aneena B.Ed

  Sum of Interior Angles in a Polygon The interior angles of a polygon are those angles that lie inside the polygon. Observe the interior angles A, B, and C in the following triangle. The interior angles in a regular polygon are always equal to each other. Therefore, to find the sum of the interior angles of a polygon, we use the formula: Sum of interior angles = (n − 2) × 180° where 'n' = the number of sides of a polygon.   Sum of Interior Angles of a polygon Another way to calculate the sum of the interior angles is by checking the number of triangles formed inside the polygon with the help of the diagonals. Since the interior angles of a triangle sum up to 180°, the sum of the interior angles of any polygon can be calculated by multiplying 180° with the number of triangles formed inside the polygon. For example, a quadrilateral can be divided into two triangles using the diagonals, therefore, the sum of the interior angles of a quadrilateral is 2 × 180° = 360°. Similarly, a...

  Sum of Angles in a Polygon The sum of the angles in a polygon depends on the number of edges and vertices. There are two types of angles in a polygon - the Interior angles and the Exterior Angles. Let us learn about the various methods used to calculate the sum of the interior angles Types of Polygons Polygons are classified into various categories depending upon their properties, the number of sides, and the measure of their angles. Based on the number of sides, polygons can be categorized as: Triangle (3 sides) Quadrilateral (4 sides) Pentagon (5 sides) Hexagon (6 sides) Heptagon (7 sides) Octagon (8 sides) Nonagon (9 sides) Decagon (10 sides) and so on Based on the other properties, polygons can be categorized as: Regular Polygons and Irregular Polygons Concave Polygons and Convex Polygons Equilateral Polygons and Equiangular Polygons Types of Angles in a Regular Polygon A regular polygon is a polygon in which all the angles and sides are equal. There are 2 types of angles in ...

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