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angle wanted, AQ:QC = 3:1, square grid (2016 Novosibirsk Oral Geo Oly 8-9 p3)

Source:

April 26, 2021
geometryanglessquare

Problem Statement

A square is drawn on a sheet of grid paper on the sides of the cells ABCDABCD with side 88. Point EE is the midpoint of side BCBC, QQ is such a point on the diagonal ACAC such that AQ:QC=3:1AQ: QC = 3: 1. Find the angle between straight lines AEAE and DQDQ.
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