A Magic Pentagon

   J-- --B
 --       --
I           C
 \         /
 H\       /D
  1. Place the numbers 1 thru 10 at the corners and sides of a pentagon, such that the sum of each side is the same.
  2. Find all solutions.
To distiguish among rotations and reflections, let the top (A) be the minimum corner, then let the right corner be greater than the left (C>I).

Source: Reader Chuck Johnson, citing his grandson.

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