# Problem 857: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines. Level: High School, SAT Prep, College geometry

 The figure shows a triangle ABC with angle BAC = 30 degrees, angle ACB = 105 degrees. If BD is a median, find the measure of angle ABD.  Try to use elementary geometry (no trigonometry).. See More Geometry Problems: Geometry Problem 858 Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines. Geometry Problem 856 Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. Geometry Problem 855 Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. Geometry Problem 854 Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines.
 Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 851-860 | Triangles | Midpoint | Median | Congruence | Angles | 30 degrees | 45 degrees | Email | Solution / comment | By Antonio Gutierrez