MathDB
Determine the angle as a function

Source:

September 14, 2010
functiongeometryrhombuscircumcircle

Problem Statement

Let ABCDABCD be a rhombus with angle ∠A=60∘\angle A = 60^\circ. Let EE be a point, different from DD, on the line ADAD. The lines CECE and ABAB intersect at FF. The lines DFDF and BEBE intersect at MM. Determine the angle ∠BMD\angle BMD as a function of the position of EE on AD.AD.
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