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3-5 – Angles of a Polygon

3-5 – Angles of a Polygon. VOcabulary. Polygons – Diagonal – Convex Polygons – . Determine if the figure is a polygon. Names of polygons. theorems. Theorem 3-13 – Theorem 3-14 – . For each polygon, find (a) the interior angle sum and (b) the exterior angle sum.

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3-5 – Angles of a Polygon

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  1. 3-5 – Angles of a Polygon

  2. VOcabulary • Polygons – • Diagonal – • Convex Polygons –

  3. Determine if the figure is a polygon

  4. Names of polygons

  5. theorems • Theorem 3-13 – • Theorem 3-14 –

  6. For each polygon, find (a) the interior angle sum and (b) the exterior angle sum 1. Quadrilateral 2. 12-gon 3. Hexagon 4. Nonagon 5. Decagon 6. Pentagon 7. Octagon 8. 18-gon

  7. Find the value of x x˚ 1. 2. 160˚ x˚ 60˚ 150˚ 150˚ 50˚

  8. Find the value of x 60˚ 120˚ 1. 2. 140˚ x˚ x˚ 60˚ x˚ x˚ 150˚ 160˚

  9. VOcabulary • Regular Polygons – • Example: 120˚ 120˚ 120˚ 120˚ 120˚ 120˚

  10. For each regular polygon, find the measure of each interior angle and each exterior angle • Triangle • Quadrilateral • Hexagon • Decagon • 15-gon

  11. How many sides does a regular polygon have if the measure of each exterior angle is: • 60 • 12 • 120

  12. How many sides does a regular polygon have if the measure of each Interior angle is: • 60 • 160 • 144

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