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MMO 198 Moscow MO 1951 ruler and protractor construction

Source:

August 7, 2019
protractorgeometrygeometric constructionpoint construction

Problem Statement

* On a plane, given points A,B,CA, B, C and angles D,E,F\angle D, \angle E, \angle F each less than 180o180^o and the sum equal to 360o360^o, construct with the help of ruler and protractor a point OO such that AOB=D,BOC=E\angle AOB = \angle D, \angle BOC = \angle E and COA=F.\angle COA = \angle F.