![]() ![]() This applies to a regular pentagon and an irregular pentagon. The sum of the interior angles of a 5 sided polygon, which is a pentagon, is always 540°. What is the Sum of Interior Angles of a 5 sided Polygon? ![]() This means the sum of the interior angles of a pentagon is always 540°. ![]() So, let us apply this to a pentagon in which n = 5. According to this property, the sum of the interior angles of any polygon can be calculated with the help of this formula. The angle sum property of a polygon is expressed using the formula, S = (n − 2) × 180°, where 'n' equals to the number of sides in that particular polygon. What is the Angle Sum Property of Pentagon? Each interior angle of a regular pentagon is equal to 108° and each exterior angle of a regular pentagon is 72°. What is a Regular Pentagon?Ī regular pentagon is a pentagon in which all the 5 sides are of equal length and all the interior angles are of equal measure. Since the exterior angle and the interior angle form a linear pair their sum will always be 180°. In case of an irregular pentagon, each exterior angle can be calculated according to the value of the corresponding interior angle. Therefore, each exterior angle of a regular pentagon is 72°. How to find the Exterior Angle of a Pentagon?Įach exterior angle of a regular pentagon can be calculated using the formula 360 ÷ n, here n = 5, so, 360 ÷ 5 = 72°. How Many Lines of Symmetry Does a Pentagon Shape Have?Ī regular pentagon shape has 5 lines of symmetry although an irregular pentagon has no lines of symmetry. In the case of a regular pentagon, each of these five interior angles measures 108º each and each of the 5 exterior angles measures 72º. How Many Angles are there in a Pentagon?Ī pentagon has five interior angles and 5 corresponding exterior angles. Does a Pentagon have Parallel Sides?Ī regular pentagon has no parallel lines, but an irregular pentagon may have 1 or 2 pairs of parallel lines. What is the Similarity Between a Quadrilateral and a Pentagon Shape?Ī quadrilateral and a pentagon both are polygons and the sum of their exterior angles is equal to 360°. No, a pentagon is not a parallelogram, it is a five-sided polygon. If all five sides are equal then we call it a regular pentagon, whereas if any two of the sides are different in measurement, we call it an irregular pentagon. What is a 5 Sided Shape Called?Ī 5 sided shape is called a pentagon. We call it a 5 sided polygon because it consists of 5 sides and 5 angles. FAQs on Pentagon What is Pentagon Shape in Geometry?Ī two-dimensional shape with 5 sides is known as a pentagon. ![]()
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