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Is this phrase safe to consider in general:

Equal sides of a polygon have corresponding equal angles

if not how would you refine or correct it

Example of a corresponding angle would be

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Edited: For example suppose you ignore the fact that the above triangle is an equilateral and treat it as a regular polygon.Then according to the above statement Angle A and Angle B are both equal because Side A corresponds to angle A which is equal to SideB which corresponds to angle B

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    @experimentX Nice question.. I guess then this statement only applies to triangles what do u think ?..2012-06-10

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Construct a pentagon of all equal sides. Physically, out of pieces of straws or something. Note how you can bend it in any which way so that no angles are the same. So the question of "equal sides correspond to equal angles" is true for triangles, can maybe be rephrased in a way that's true for quadrilaterals (since there it forces two pairs of equal angles), but definitely fails to work in general.

A better statement to prove might be the reverse: Do equal angles of a polygon imply equal sides?

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    benm$a$chine Ill $a$sk a ne$w$ one then.. th$a$nks for pointing it out2012-06-10
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There is a statement about equal triangles that says: in equal triangles the angles opposite to equal sides are equal, i.e. is $\Delta ABC$ = $\Delta A_1B_1C_1$, then $AB=A_1B_1\implies \angle C =\angle C_1$. If you want to generalise this in any direction, you must say something about the polygons in question and the way how angles "correspond" to sides, otherwise the picture is too loose to make a definite statement

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    yes, to any kind2012-06-10