Math, asked by kanaparthirockstar06, 7 hours ago

Find the sum of the interior angles of a polygon with 7 sides.

Answers

Answered by sreemathibalakrishna
0

Since, heptagon has 7 sides therefore, Sum of interior angles = (n - 2) × 180

Types of Polygons

In Geometry, we study about different types of shapes. A polygon is any closed geometrical shape made up of straight lines that can be drawn on a flat surface, like a piece of paper. A circle or any other shape that includes a curve are not polygons.

Polygons are classified into different types depending on the number of sides they have: (image will be updated soon)

Triangle (Polygon having 3 sides and 3 interior angles)

Quadrilateral (Polygon having 4 sides and 4 interior angles)

Pentagon (Polygon having 5 sides and 5 interior angles)

Hexagon (Polygon having 6 sides and 6 interior angles)

Heptagon (Polygon having 7 sides and 7 interior angles)

Octagon (Polygon having 8 sides and 8 interior angles)

Nonagon (Polygon having 9 sides and 9 interior angles)

Decagon (Polygon having 10 sides and 10 interior angles)

In General, A Polygon with ‘n’ Sides Has:

‘n’ interior angles.

Sum of interior angles = (n - 2) × 180°

Each interior angle of a regular polygon = (n−2)х180⁰n

Sum of exterior angles = 360°

In this article, we will learn about the seven-sided polygon called “heptagon” with its proper definition, shape, number of sides, properties, its formula of perimeter and area in detail.

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