The figure below shows a triangle ABC with
the median BD such that angles A and DBC are equal. If angle BDC is 45
degrees, find the measure of angle A.
Try to use elementary geometry (Euclid's Elements.)
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 illstructured problem. By
“construction,” we mean adding geometric figures (points, lines,
planes) to a problem figure that wasn’t mentioned as "given." ont>
