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Learn how to find the sum of interior angles in polygons, classify polygons by their number of sides, and determine the measure of interior and exterior angles in regular convex polygons. Practice problems included.

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Do Now

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  1. Do Now

  2. Geometry Section 8.1: Objective: SWBAT find angle measures in polygons

  3. Vocabulary A closed plane figure with the following properties: 1. formed by 3 or more line segments called sides 2. each side intersects exactly two sides one at each endpoint, so that no two sides with a common endpoint are collinear. • Polygon: • Diagonal: • Regular Polygon: A segment that joins two nonconsecutive sides A polygon that has all sides, and all angles congruent

  4. Degrees in a convex polygon

  5. Degrees in a convex polygon

  6. Formulas/Notes Total interior degrees in a convex polygon = Each interior angle of a polygon = Total exterior degrees in a convex polygon = Each exterior angle of a polygon =

  7. Find the sum of the measures of the interior angles of the indicated convex polygon. 1.) 15-gon 2.) Dodecagon 3.) 40-gon

  8. The sum of the measure of the interior angles of a convex polygon is given. Classify the polygon by the number of sides. 1.) 2520o 2.) 3960o 3.) 8640o

  9. Find the measure of an interior angle and an exterior angle of the indicated regular convex polygon. 4.) Triangle 5.) 16-gon 6.) 60-gon

  10. Find the value of n for each regular n-gon described. 7.) Each interior angle of the regular convex n-gon has a measure of 140 degrees. 8.) Each exterior angle of the regular convex n-gon has a measure of 45 degrees.

  11. Find the value of n for each regular n-gon described. 32.) Each interior angle of the regular convex n-gon has a measure of 172 degrees. 34.) Each exterior angle of the regular convex n-gon has a measure of 3 degrees.

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