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The Interior Angles of Polygons

The Interior Angles of Polygons. Jessica King-Instructional Presentation. Objective. To model the interior angles of polygons To apply the formula of the sum of interior angles accurately. What Is A Polygon?.

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The Interior Angles of Polygons

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  1. The Interior Angles of Polygons Jessica King-Instructional Presentation

  2. Objective To model the interior angles of polygons To apply the formula of the sum of interior angles accurately

  3. What Is A Polygon? A polygon is a two-dimensional shape made of straight line segments, and the shape is closed. A closed shape means that all sides are connected

  4. Interior Angles of Polygons Definition: An interior angle is an angle inside the shape

  5. Sum of A Triangle’s Interior Angles Sum of A Quadrilateral’s Interior Angles A quadrilateral can be drawn as two triangles… So the Sum of the Interior Angles of a Square is 180+180 = 360° The Interior Angles of a Triangle add up to 180°

  6. Sum of the Interior Angles of a Polygon with n number of sides We can draw line segments from one angle to another to create multiple triangles out of each polygon… Activity: Constructing Triangles in a Polygon

  7. The Sum of Interior Angles Formula The sum of interior angles =180°(n-2) Where n is the number of sides of the polygon

  8. Example What is the Sum of the Interior Angles of an Octagon? An octagon has 8 sides 8=n Sum of Interior Angles = 180(n-2) =180(8-2) =180(6) =1080° The Sum of the Interior Angles of an Octagon is 1080°

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