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Problem 549: Parallel lines, Transversal, Angles
Level: High School, College, Math Education

The figure shows line L1 parallel to L2 with the angles a, b, and x. Prove that x = a +b.
 

Parallel lines, Transversal, Angle sum
 

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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