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2018 IGO Elementary Level P3

Source:

September 20, 2018
IranIGO2018 igogeometry

Problem Statement

In the given figure, ABCDABCD is a parallelogram. We know that ∠D=60∘\angle D = 60^\circ, AD=2AD = 2 and AB=3+1AB = \sqrt3 + 1. Point MM is the midpoint of ADAD. Segment CKCK is the angle bisector of CC. Find the angle CKBCKB.
Proposed by Mahdi Etesamifard
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