Geometry Problems, Online Education

Unraveling Geometry Problem 857: Exploring Triangles, Median, Midpoint, and Congruence with Auxiliary Lines - Mastering 30 and 45 Degree Angles

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
 

 

 

See More Geometry Problems:

Online education degree: geometry problems 21-30

 

Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines

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

Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines

Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines.

 

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