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W0lf93
The letter H is the only one in the word "happy" that has the rotational simmetry on the order of two. In fact, if you rotate the letter H 180° clockwise or counterwise, it will still look the same; it is called "on the order of two", exactly because you've rotated it 180° (two rotations of 90°).
Answer

Letter H


Explanation
The order of symmetry is the number times an object appears exactly the same when rotated about a certain axis.
From the word  HAPPY, only letter H will have 2 order of symmetry. 
When rotated at 180°, It will look exactly the same. 
A, P, P and Y have only 1 order of symmetry.