Geometry Problems, Online Education

 Problem 106. Angles, Triangle. Level: High School, SAT Prep, College

In the figure below, given a triangle ABC, angle BAD = 2a , angle ACB = a , and AB = CD. Prove that x = 180º- 4a.
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Geometry Problem 106, Angles, Triangle, ELearning

 

 

FACTS AND HINTS:

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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