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8-1 day 2

8-1 day 2. Objective: I will investigate the measures of the interior and exterior angles of polygons. Use the formula (n-2)180 to find the SUM of the INTERIOR angles of a convex polygon. Find the sum of the measures of the interior angles of each convex polygon

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8-1 day 2

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  1. 8-1 day 2 Objective: I will investigate the measures of the interior and exterior angles of polygons

  2. Use the formula (n-2)180 to find the SUM of the INTERIOR angles of a convex polygon Find the sum of the measures of the interior angles of each convex polygon • 32-gon B. 18-gon C. 19-gon D. 27-gon E. 4y-gon F. 2x-gon

  3. Find the measure of each interior angle

  4. What is an exterior angle??? • An exterior angle is formed when one side of the polygon is extended at each vertex. • Note: the measure of one interior plus one exterior always equals 180 degrees because they are a linear pair!!!

  5. Investigating Polygons

  6. Exterior Angle sum example

  7. What is the measure of each exterior angle of a regular pentagon?

  8. So… if the exterior angles always have a sum of 360 degrees try to answer these questions. • What is the measure of each exterior angle of a regular decagon? • What is the measure of each exterior angle of a regular octagon? • What is the measure of each exterior angle of a regular heptagon? • What is the measure of each exterior angle of a regular 18-gon?

  9. If each exterior angle of a regular polygon has a measure of 45 degrees. How many sides does the polygon have?

  10. If each exterior angle of a regular polygon has a measure of 15 degrees. How many sides does the polygon have? • If each exterior angle of a regular polygon has a measure of 20 degrees. How many sides does the polygon have? • If each exterior angle of a regular polygon has a measure of 36 degrees. How many sides does the polygon have?

  11. If an interior angle of a regular polygon has a measure of 157.5 degrees, how many sides does the polygon have?

  12. *** remember that one interior plus one exterior = 180 • If an interior angle of a regular polygon has a measure of 135 degrees, how many sides does the polygon have? • If an interior angle of a regular polygon has a measure of 60 degrees, how many sides does the polygon have? • If an interior angle of a regular polygon has a measure of 144 degrees, how many sides does the polygon have?

  13. Homework: practice worksheet

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