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In your journal, create this chart

In your journal, create this chart. Place your tan homework on your desk. 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. How many degrees in the sum of the interior angles of a triangle?.

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In your journal, create this chart

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  1. In your journal, create this chart Place your tan homework on your desk

  2. 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

  3. How many degrees in the sum of the interior angles of a triangle? 180 Degrees

  4. Add the data to the chart

  5. How many degrees in the sum of the interior angles of a quadrilateral? 360 Degrees

  6. Add the data to the chart

  7. How many degrees in the sum of the interior angles of a pentagon? 330 + 210 = 540

  8. Add the data to the chart

  9. Add the data to the chart

  10. Add the data to the chart

  11. The sum of the degrees increases 180 degrees for every additional angle Look for a pattern + 180 + 180 + 180 + 180

  12. What is the relationship between the number multiplied by 180 and number of sides of a triangle? Look for a pattern 1 x 180 = 2 x 180 = 3 x 180 = 4 x 180 = 5 x 180 =

  13. What is the relationship between the number multiplied by 180 and number of sides of a triangle? Look for a pattern Number of angles – 2 times 180 = sum of degrees or 1 x 180 = (n-2)180 = Sum of degrees 2 x 180 = 3 x 180 = 4 x 180 = 5 x 180 =

  14. What is the sum of all the angles of an octagon? (8-2)180 = Sum of degrees (n-2)180 = Sum of degrees 6 x 180 = 1080

  15. What is the sum of all the angles of an nonagon? (9-2)180 = Sum of degrees (n-2)180 = Sum of degrees 7 x 180 = 1260

  16. Record formula in journal (n-2)180 = Sum of degrees

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