IMO Shortlist 1969 problem 50


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(NET 5) The bisectors of the exterior angles of a pentagon B_1B_2B_3B_4B_5 form another pentagon A_1A_2A_3A_4A_5. Construct B_1B_2B_3B_4B_5 from the given pentagon A_1A_2A_3A_4A_5.
Izvor: Međunarodna matematička olimpijada, shortlist 1969