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<ANC = ? isosceles ABC, <BND = 90^o, midpoints

Source: 2007 All-Ukrainian Correspondence MO of magazine ''In the World of Mathematics'', grades 5-12 p7

April 28, 2021
geometryisoscelesmidpointsUkraine Correspondence

Problem Statement

Let ABCABC be an isosceles triangle (AB=ACAB = AC), DD be the midpoint of BCBC, and MM be the midpoint of ADAD. On the segment BMBM take a point NN such that ∠BND=90o\angle BND = 90^o. Find the angle ANCANC.
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