# Pentagon interior angles - 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.

Description: What are the 5 angles of a pentagon?

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This non-adjacent pair of angles are formed on the opposite sides of the transversal.
This point is joined to the periphery vertically above the center at point D.
What are Interior Angles?

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+274reps
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°.
+63reps
Pentagon divided into 3 colored triangles If the sum of the measures of the interior angles in each of these three triangles is 180 degrees, the sum of the measures of the interior angles of the .
+25reps
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.
+272reps
Regular pentagons where all the sides and angles are the same will have a sum of interior angles of 540 degrees. Weird-shaped pentagons where one side is super long will also have a sum of interior .
+376reps
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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