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Weve got convex angle (with apex P ) and point A inside the angle. We consider every steams of points X,Y which are on the side of this angle and implement condition: PX=PY. We should find this steam of points X,Y for wich value of sum AX+AY will be least.
To prove that for this steam of points X,Y degree of angle XAP and YAP are equal.
If it is unclear, i will try to explain the problem. There may be some misteakes because of my english -> sorry;)
Instead of steam I should use word: pair (of points X,Y) -> sorry;)