Interior angles of polygons This is just one of the six interior angles of this polygon.

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Presentation transcript:

Interior angles of polygons This is just one of the six interior angles of this polygon

The angle sum of a triangle is 180° A polygon with 3 sides is a triangle âĉ

What is the angle sum of a quadrilateral? Angle sum of a triangle = 180° Angle sum of a triangle = 180° The angle sum of a quadrilateral is 360°

Here is a different quadrilateral but the method is the same Angle sum of a triangle = 180° Angle sum of a triangle = 180° The angle sum of a quadrilateral is 360°

What is the angle sum of a pentagon? This time you can divide the polygon into 3 triangles 180°x 3 = 540° The angle sum of a pentagon is 540°

You can find the angle sum of any polygon by dividing it up into triangles 180° x 4 = 720° 180° x 5 = 900° 180° x 6 = 1080°

Finding a formula What is the formula for finding the angle sum of a dodecagon (a 12-sided polygon)?