Geometry Problem 1461: Quadrilateral, Triangle, Angles, 30-60 Degree, Congruence, Auxiliary Lines
The figure below shows a quadrilateral ABCD with angle
CAD = 30 degrees, angle BAC = 35 degrees, angle ABC = 110 degrees, and angle
BCD = 130 degrees. Find the measure of angle BDC. Try to use elementary geometry (no trigonometry).
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