3-D Analytic Geometry

Geometry Level 5

Five regular pentagons are placed symmetrically around a central pentagon of the same size, as shown in the attached figure. The five pentagons are then rotated about the common side each has with the central pentagon. By what angle (in degrees) is each pentagon rotated so that the five pentagons join sides at the end of the rotation?

  • See the attached animation.
  • Give your answer to three decimal places.
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