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MMO 260 Moscow MO 1954 convex polygons with equal sides and n-3 angles

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August 13, 2019
convex polygonequal polygonsgeometry

Problem Statement

Given two convex polygons, A1A2...AnA_1A_2...A_n and B1B2...BnB_1B_2...B_n such that A1A2=B1B2A_1A_2 = B_1B_2, A2A3=B2B3A_2A_3 = B_2B_3,... ..., AnA1=BnB1A_nA_1 = B_nB_1 and n−3n - 3 angles of one polygon are equal to the respective angles of the other. Find whether these polygons are equal.
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