Geometry Problem 1299: Triangles, Interior Point, Angles, 30 degrees

In a triangle ABC, M is an interior point such that the measures of the angles ABC, BAM, MAC, and ACM are equal to 51, 73, 30, and 13 degrees, respectively. Find the measure of the angle BMC.
This entry contributed by Apostolis Manoloudis, 4 High School of Korydallos, Piraeus, Greece.
 

Geometry Problem 1299: Triangles, Interior Point, Angles, 30 degrees
 

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Geometric Art of problem 1299 and Machu Picchu using Mobile Apps, iPad


Geometric Art Problem 1299, Machu Picchu using Mobile Apps, iPad