In triangle ABC, the angle is c-straight. from the vertex of angle B to the side of the AC, a segment BM = AM

In triangle ABC, the angle is c-straight. from the vertex of angle B to the side of the AC, a segment BM = AM is drawn, angle AMB = 120 ° Find the degree measure of the angle CBM.

Angles BMC and BMA are adjacent angles, the sum of which is 180, then the angle BMC = (180 – 120) = 60.
In a right-angled triangle BCM, the angle СBM = (180 – 90 – 60) = 30.
Answer: The CBM angle is 30.



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