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  • Question

  • Count the number of convex pentagons in the adjoining figure.

    Count the number of convex pentagons in the adjoining figure. 16 12 8 4 A convex pentagon has no ang


  • Options
  • A. 16
  • B. 12
  • C. 8
  • D. 4

  • Correct Answer
  • 12 

    Explanation
    A convex pentagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.

    The figure may be labelled as shown.

    Count the number of convex pentagons in the adjoining figure. 16 12 8 4 A convex pentagon has no ang

    The pentagons in the figure, are ABDFH, CDFHB, EFHBD, GHBDF, ACDFG, CEFHA, EGHBC, GABDE, BDEGH, DFGAB, FHACD and HBCEF. Clearly, these are 12 in number.

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