construct a regular pentagon and hexagon, create a five pointed and six pointed star by connecting points with straight lines.

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Answer:

The pentagram is the simplest regular star polygon, containing ten points. Five points make up the tips of the star, and five points make up the vertices of the inner pentagon. The pentagram or five-point star also consists of fifteen different line segments

Explanation:

  • Draw a side OA of length 5 cm.
  • Construct angles of 120∘ from points O and A respectively.
  • Mark points B and E on the 120∘ angles created from A and O respectively.
  • Again draw angles of 120∘ to sides AB and O respectively and mark points C and D at a distance of 5 cm from B and E respectively. Join C−D.

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