Geometry Problem 1429: Triangle, Median, 15-30 degree, Angle, Congruence

Problem

In a triangle ABC, where BD is a median, if angle ABD is 15 degrees and angle DBC is 30 degrees, find the measure of angle A.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka. Trigonometry is not allowed.


 

Geometry Problem 1429: Triangle, Median, 15-30 degree, Angle, Congruence, Tutoring
 
 

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Typography and Sketch of Problem 1429: The Colosseum in the background


Geometry Problem 1429: Triangle, Median, 15-30 degree, Angle, Congruence, The Colosseum in the background

Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.


Geometry Problem 1429 Solution(s)