IMO 1969 LL NET50

The bisectors of the exterior angles of a pentagon B1B2B3B4B5

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IMO 1969 LL NET50

Origin: NET

Problem

The bisectors of the exterior angles of a pentagon B1B2B3B4B5 form another pentagon A1A2A3A4A5. Construct B1B2B3B4B5 from the given pentagon A1A2A3A4A5.