![]() The sum of interior angles of the heptagon is 900° and the sum of its exterior angles is 360°.A heptagon has 7 edges, 7 interior angles, and 7 vertices.Thus, each exterior angle of a regular heptagon = 360/7 = 51.43º ![]() Thus, the sum of all the exterior angles of a regular heptagon is equal to 360º. Thus, each interior angle of a regular heptagon = 900/7 = 128.57º Exterior Angles of a Regular HeptagonĪccording to the sum of exterior angles formula, the sum of all the exterior angles of a regular polygon is equal to 360º. Sum of interior angles of a regular heptagon = (7 - 2) × 180º = 900º. The sum of interior angles of a regular polygon is given using the interior angle formula that is (n - 2) × 180º where n is the number of sides of the polygon. Let's read about the interior and exterior angles of a heptagon. The following figures show a convex and a concave heptagon.Ī heptagon consists of 7 interior angles and 7 exterior angles. At least one vertex points inwards in a concave heptagon. They can either be regular or irregular heptagons. All the vertices of the convex heptagon are pointed outwards.Ĭoncave Heptagon: In a concave heptagon at least one of the interior angles is greater than 180°. II) Based on angle measures, heptagons can be classified as follows:Ĭonvex Heptagon: A convex heptagon has all the interior angles measure less than 180°. The following figures show a regular and an irregular heptagon. However, the sum of all the interior angles of an irregular heptagon is also 900°. The value of each interior angle of an irregular heptagon will be different. Irregular Heptagon: An irregular heptagon is one that has sides and angles of different measures. The value of each interior angle of a regular heptagon is 900°/7 = 128.57° Since a heptagon has 7 sides, the sum of its interior angles is equal to (7 - 2) × 180° = 5 × 180° = 900°. The sum of all the interior angles of a polygon is equal to (n - 2) × 180°, where n is the number of sides. Regular Heptagon: A regular heptagon is one that has equal sides and equal angles. I) Based on the side lengths, heptagons can be classified as follows: Heptagon shapes can be categorized based on their sides and angles. For a convex heptagon, the diagonals lie inside the figure whereas for a concave heptagon, at least one diagonal lies outside the figure. ![]() Heptagon DiagonalsĪ heptagon has fourteen diagonals. The sum of the exterior angles of a heptagon is equal to 360° and this holds for both regular and irregular heptagons. Some angles of a the figure can be obtuse or acute. Heptagon AnglesĪ heptagon has seven interior angles and the sum of all interior angles is equal to 900°. The heptagon sides meet at the vertices to form a seven-sided closed figure. These sides meet each other but do not intersect or cross each other. The seven sides of a heptagon are straight edges and can be of the same or different lengths. ![]() Let’s observe the figure given below that shows a heptagon. It is a closed figure and a heptagon with all equal seven sides is called a regular heptagon. They may have the same or different dimensions of length. A heptagon is a seven-sided polygon that has seven angles, seven vertices, and seven edges.
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