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Problem 1. Triangle, Angles, Midpoint, Congruence, 45 Degrees.
Level: High School, SAT Prep, College geometry.

In a triangle ABC, median BD is such that angles A and DBC are equal, and angle ADB is 45degrees. Prove that the measure of angle A is 30 degrees. Post a comment or solution. Try to use elementary geometry (Euclid's Elements.)
 

 

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