Geometry Problem 104. Angles, Triangle, Quadrilateral.
Level: High School, Honors Geometry, College,
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
View or post a solution
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."