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# Geometry Problem 1299

### Elements: 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.

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