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Geometry Problem 105. Angles, Triangle, Interior Point. Level: High School, Honors Geometry, College, Mathematics Education

In the figure below, given a triangle ABC, angle ABD = a , angle BAD = angle DAC = b , angle BCD = 90 - a - b , and angle ACD = x. Prove that x = a. View or post a solution.

Geometry Problem, Elearning 105




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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