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Published byBernice Alexander Modified over 9 years ago
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In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk
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Expectations Explain how the formula for the sum of angles of a polygon is derived Compute problems regarding the sum of angles of a polygon
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How many degrees in the sum of the interior angles of a triangle? 180 Degrees
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Add the data to the chart PolygonNumber of Angles Sum of degrees Triangle3180
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How many degrees in the sum of the interior angles of a quadrilateral? 360 Degrees
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Add the data to the chart PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360
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How many degrees in the sum of the interior angles of a pentagon? 330 + 210 = 540
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Add the data to the chart PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360 Pentagon5540
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Add the data to the chart PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360 Pentagon5540 Hexagon6710
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Add the data to the chart PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360 Pentagon5540 Hexagon6710 Heptagon7890
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Look for a pattern PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360 Pentagon5540 Hexagon6710 Heptagon7890 + 180 The sum of the degrees increases 180 degrees for every additional angle
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Look for a pattern PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360 Pentagon5540 Hexagon6710 Heptagon7890 What is the relationship between the number multiplied by 180 and number of sides of a triangle? 2 x 180 = 3 x 180 = 4 x 180 = 5 x 180 = 1 x 180 =
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Look for a pattern PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360 Pentagon5540 Hexagon6710 Heptagon7890 What is the relationship between the number multiplied by 180 and number of sides of a triangle? 2 x 180 = 3 x 180 = 4 x 180 = 5 x 180 = 1 x 180 = or Number of angles – 2 times 180 = sum of degrees (n-2)180 = Sum of degrees
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What is the sum of all the angles of an octagon? (n-2)180 = Sum of degrees (8-2)180 = Sum of degrees (8-2)180 = Sum of degrees 6 x 180 = 1080
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What is the sum of all the angles of an nonagon? (n-2)180 = Sum of degrees (9-2)180 = Sum of degrees (9-2)180 = Sum of degrees 7 x 180 = 1260
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Record formula in journal PolygonNumber of Angles Sum of degrees Triangle3180 Quadrilateral4360 Pentagon5540 Hexagon6710 Heptagon7890 (n-2)180 = Sum of degrees
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