6. Find the measure of each angle of a regular polygon with 14 diagonal
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Shape Sides Sum of
Interior Angles Shape Each Angle
Triangle 3 180° regular triangle 60°
Quadrilateral 4 360° regular quadrilateral 90°
Pentagon 5 540° pentagon regular 108°
Hexagon 6 720° hexagon regular 120°
Heptagon (or Septagon) 7 900° heptagon refular 128.57...°
Octagon 8 1080° octagon regular 135°
Nonagon 9 1260° nonagon regular 140°
... ... .. ... ...
Any Polygon n (n−2) × 180° regular n gon (n−2) × 180° / n
Interior Angles Shape Each Angle
Triangle 3 180° regular triangle 60°
Quadrilateral 4 360° regular quadrilateral 90°
Pentagon 5 540° pentagon regular 108°
Hexagon 6 720° hexagon regular 120°
Heptagon (or Septagon) 7 900° heptagon refular 128.57...°
Octagon 8 1080° octagon regular 135°
Nonagon 9 1260° nonagon regular 140°
... ... .. ... ...
Any Polygon n (n−2) × 180° regular n gon (n−2) × 180° / n
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