Online Geometry Problems

Online Geometry Problem 3, Art 01: Triangle, Angles, 45 degrees, Auxiliary Lines. PicSketch for iPad

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.)
 

Problem 003 Art 01,  iPad app PicSketch Artwork, 45 Degrees. Elearning
 

See also: Art 00


PicSketch - Pencil Sketch & Drawing Photo Filter Effects
PicSketch by Softease Tech Co., Limited is a photo sketch app for iPhone and iPad, to turn photo into a pencil sketch artwork in a few taps.


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Solution / Comment to Geometry Problem 3