Problem #WSP-000215

Problem

Two convex polygons $A_{1} A_{2} . . . A_{n}$ and $B_{1} B_{2} . . . B_{n}$ have equal corresponding sides $A_{1} A_{2} = B_{1} B_{2}$ , $A_{2} A_{3} = B_{2} B_{3}$ , ... $A_{n} A_{1} = B_{n} B_{1}$ . It is also known that $n - 3$ angles of one polygons are equal to the corresponding angles of the other. Prove that the polygons $A_{1} . . . A_{n}$ and $B_{1} . . . B_{n}$ are congruent.

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