Pentagon interior angles - Sum of Angles in a Pentagon
Sum of Angles in a Pentagon
Sum of interior angles of Pentagon Calculator
However, sometimes two or three sides of a pentagon might have equal sides but it is still considered as irregular.
Here, n is 5 as the pentagon has 5 sides.
Sum of Interior Angles Formula From the simplest polygon, let us say a triangle, to an infinitely complex polygon with n sides such as octagon, all the sides of polygon create a vertex, and that vertex has an interior and exterior angle.
Angles are categorized into different types based on their measurements.
Since a pentagon has 5 sides, the sum of interior angles of a pentagon is = (5-2)× 180° [where n=5] = 3× 180°= 540°. Hence, the sum of interior angles of a pentagon is 540°. Sum of Exterior Angles in a Pentagon We know that the formula to calculate the sum of interior angles of a polygon is (n – 2) × 180°.
The sum of interior angles of a pentagon is equal to 540°. This is true regardless of whether the pentagon is regular or irregular. In the case of regular pentagons, we can determine the measure of each interior angle by dividing the total sum by 5.
The angles in all three triangles form the interior angles of the pentagon and so the sum of angles in a pentagon equals 540°. Exterior Angles of a Pentagon. Exterior angles of all pentagons add up to 360°. In a regular pentagon, each exterior angle is 72°. This is because each angle is the same size and 360° ÷ 5 = 72°.
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