Geometry Problems, Online Education

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)..
 

Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines
 

 

 

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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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