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Online Geometry Problem 3: Triangle, Angles, 45 degrees, Auxiliary Lines. Level: High School, College,
Mathematics Education
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The figure below shows a
triangle ABC with
the median BD such that angle A = 3(angle C), and angle ADB = 45
degrees. Prove that angle C = 22.5 degrees. Try to use elementary geometry (Euclid's Elements.)
See
also:
Art 01
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