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2022 PUMaC Geometry B1

Source:

September 10, 2023
geometry

Problem Statement

A triangle △ABC\vartriangle ABC is situated on the plane and a point EE is given on segment ACAC. Let DD be a point in the plane such that lines ADAD and BEBE are parallel. Suppose that ∠EBC=25o\angle EBC = 25^o, ∠BCA=32o\angle BCA = 32^o, and ∠CAB=60o\angle CAB = 60^o. Find the smallest possible value of ∠DAB\angle DAB in degrees.
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