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Posers and Puzzles

Posers and Puzzles

  1. 06 Jul '13 10:54
    Here's a nice little puzzle that was in the new scientist recently.

    I chose 5 points, on the perimeter of a circle, all on one side of a diameter.

    I then joined those 5 points to form a convex pentagon.

    Measuring the internal angles of the pentagon, in degrees, I found that all except the smallest angle were a square whole number of degrees.

    What is the smallest angle and the two angles adjacent to it?