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Angles in Polygons

In this topic, we will learn to find the measures of angles in polygons.

Topic: Angle Measures in Polygons

  • A polygon is a closed plane figure formed by three or more segments. A polygon is named by the number of its sides

  • Find the sum of the angle measures in a polygon by dividing the polygon into triangles

  • The angle measures of a triangle add up to 180° (Triangle Sum Theorem)

  • An n-gon (a polygon having n sides) can be divided into n - 2 triangles. The sum of the angle measures of any n-gon (a polygon having n sides) is 180° (n - 2)

  • If all sides and angles of a polygon are congruent, the polygon is known as a regular polygon

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