Geometry Problems, Online Education

Online Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees. Level: High School, College, Mathematics Education

The figure below shows a quadrilateral ABCD with angle BAD = 90 degrees, angle ACB = 30 degrees, angle ADB = angle BDC = x, and angle CBD = 2x. If angle BCD is obtuse, find x.
 

Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees
 


 

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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