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Interior Angle Formulas. The interior angles of a polygon always lie inside the polygon. The formula can be obtained in three ways. Let us discuss the three different formulas in detail. Method 1: If “n” is the number of sides of a polygon, then the formula is given below: Interior angles of a Regular Polygon = [180°(n) – 360°] / n ...
Interior Angles of Polygons. An Interior Angle is an angle inside a shape: Another example: Triangles. The Interior Angles of a Triangle add up to 180°. Let's try a triangle: 90° + 60° + 30° = 180°. It works for this triangle. Now tilt a line by 10°: 80° + 70° + 30° = 180°. It still works! One angle went up by 10°, and the other went down by 10°.
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. As per the angle sum theorem, the sum of all the three interior angles of a triangle is 180°.
Interior Angles of a Polygon. Definition: The angles on the inside of a polygon formed by each pair of adjacent sides. (See also Exterior angles of a polygon) Try this Adjust the polygon below by dragging any orange dot. Click on "make regular" and repeat. Note the behavior of the interior angles and their sum. Options. Hide. |< >|. RESET. .
The interior angle formula is used to find the sum of all interior angles of a polygon. The sum of interior angles of a polygon of n sides is 180(n-2) degrees.
Printable reference sheet for the interior and exterior angles of regular polygons.
∠ 1, ∠ 4, ∠ 2, ∠ 3 are interior angles. We will refer to this image to understand the types of the interior angles. Recommended Games. Add the Angles Game. Play. Answer Questions Related to Triangles Game. Play. Classify Triangles and Rectangles as Closed Shape Game. Play. Classify Triangles Game. Play. Draw Angles in Multiples of 10 Degrees Game.
