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Mike McGarry
Lesson by Mike McGarry
Magoosh Expert
Quiz
Geometry (Not tested on Focus edition)
Summary
The exploration of regular polygons reveals their unique properties and mathematical significance, emphasizing their equilateral and equiangular nature.
  • Regular polygons are defined by having all sides equal (equilateral) and all angles equal (equiangular), distinguishing them from ordinary shapes.
  • The sum of the angles in any polygon can be calculated using the formula (n - 2) * 180, where n is the number of sides, allowing for the determination of individual angles by dividing this sum by n.
  • Examples provided include the regular pentagon, hexagon, and octagon, with specific angles calculated to illustrate the process.
  • Heptagons are noted for their non-integer angle degrees, making their mathematical treatment less straightforward and thus not a focus of GMAT questions.
  • A complex problem involving a regular octagon and its diagonals demonstrates how to apply knowledge of regular polygons to solve high-difficulty questions.
Chapters
00:00
Defining Regular Polygons
01:21
Calculating Angles in Regular Polygons
02:23
The Exception of Heptagons