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![Geometry Problems, Online Education](../problem/h_geometry_problem_910.jpg)
Unraveling Geometry Problem 857: Exploring Triangles, Median, Midpoint, and Congruence with Auxiliary Lines - Mastering 30 and 45 Degree Angles
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Given triangle ABC with angle BAC = 30
degrees and angle ACB = 105 degrees, find the measure of angle
ABD, where BD is the median from vertex B. Use only elementary
geometry to solve this problem; do not use trigonometry.
![Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines](p857-triangle-median-midpoint-angle-30-degrees.gif)
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See More Geometry Problems:
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![Online education degree: geometry problems 21-30](../math_geometry_online_courses/geometry_problems_21_30.jpg) |
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![Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines](p858-isosceles-right-triangle-angle-1.jpg) |
Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines. |
![Problem 856: Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines](../school-college/p856-quadrilateral-triangle-angle-30-degrees-diagonal-1.jpg) |
Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
![Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines](../school-college/p855-triangle-angle-30-degrees-auxiliary-lines-1.jpg) |
Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
![Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines](../school-college/p854-triangle-parallelogram-parallel-area-similarity-1.jpg) |
Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines. |
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