How to find interior angle of regular polygon

A polygon close polygon A polygon is a 2-dimensional closed shape with straight sides, eg triangle, hexagon, etc.

Here we will learn about interior angles in polygons including how to calculate the sum of interior angles for a polygon, single interior angles and use this knowledge to solve problems. Interior angles are the angles inside a shape. They are the angles within a polygon made by two sides:. The number of triangles a polygon can be split into is always 2 less than the number of sides. Step by step guide: Angles in polygons. Includes reasoning and applied questions. Interior angles of a polygon is part of our series of lessons to support revision on angles in polygons.

How to find interior angle of regular polygon

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. They can have any number of sides. Regular polygons have sides and angles of the same length. Many of the polygons like triangles, squares, and rectangles are used extensively for various purposes. To find the measure of one interior angle , we divide the result by n. For example, let's consider a 3-sided regular polygon, that is, an equilateral triangle. We use the formula, and substitute n with 3. Now, if we divide it by n, that is, 3, we get 60, which is the measure of an interior angle of a triangle. Note: The particular formula is true for only regular polygons, that is, where all the angles are the same, and does NOT cover other cases. About Us. Already booked a tutor? Learn Math Questions with tutors mapped to your child's learning needs.

Note: The particular formula is true for only regular polygons, that is, where all the angles are the same, and does NOT cover other cases. Privacy Policy.

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All angles are classified based on whether they are found inside or outside of any geometric shape into interior and exterior angles. Angles that are found inside or within any geometric shape are called interior angles. They are also sometimes called internal angles. A triangle has three interior angles. Similarly a quadrilateral such as a square, rectangle, parallelogram, kite, or a trapezoid has four interior angles. Again polygons such as pentagon, hexagon, heptagon, octagon, nonagon, and decagon have five, six, seven, eight, nine, and ten interior angles.

How to find interior angle of regular polygon

The sum of the measures of the interior angles of a triangle is degrees. Since all the sides of equilateral triangles are the same length, all the angles are the same The interior angles of an equilateral triangle are all 60 degrees.

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The diagram below shows a regular decagon. Show answer Hide answer Method 1. Maths Questions. Method 2. We can write the sum of the interior angles as multiplied by the number of sides or n. Exterior angles of polygons. They can have any number of sides. Learning checklist You have now learned how to: Use conventional terms for geometry e. For example, let's consider a 3-sided regular polygon, that is, an equilateral triangle. Math worksheets and visual curriculum. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors. A polygon is a two-dimensional geometric figure that has a finite number of sides. It is mandatory to procure user consent prior to running these cookies on your website.

Interior Angles of A Polygon: In Mathematics, an angle is defined as the figure formed by joining the two rays at the common endpoint. An interior angle is an angle inside a shape. The polygons are the closed shape that has sides and vertices.

They can have any number of sides. Identify what the question is asking you to find. Related links. For a regular shape all the angles are the same size, so we divide by 9 to arrive at the answer. Other lessons in this series include:. Types of polygon. We can write the sum of the interior angles as multiplied by the number of sides or n. You also have the option to opt-out of these cookies. For example, let's consider a 3-sided regular polygon, that is, an equilateral triangle. This category only includes cookies that ensures basic functionalities and security features of the website. Find the size of the other angle. Now, if we divide it by n, that is, 3, we get 60, which is the measure of an interior angle of a triangle. Find angle y which is within one of the interior angles. They are the angles within a polygon made by two sides:. Note: The particular formula is true for only regular polygons, that is, where all the angles are the same, and does NOT cover other cases.