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Geometry Problem 104. Angles, Triangle, Quadrilateral. Level: High School, Honors Geometry, College, Mathematics Education

In the figure below, given a quadrilateral ABCD, angle ABD = 2a , angle DBC = 90 - a , angle ADB = 2b , and angle BDC = 90 - b . Prove that angle AEB = 90 + b - a
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Problem 104, Angles. 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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