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In a triangle ABC, median BD is such
that angles A and DBC are equal. If angle ADB is 45 degrees,
prove that the measure of angle A is 30 degrees. Try to use
elementary geometry (Euclid's Elements.)
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Geometry problem solving is one of the
most challenging skills for students to learn. When a problem
requires auxiliary construction, the difficulty of the problem
increases drastically, perhaps because deciding which
construction to make is an ill-structured problem. By
“construction,” we mean adding geometric figures (points, lines,
planes) to a problem figure that wasn’t mentioned as "given."
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