Rhombus and perpendicular

Geometry Level 2

In a rhombus A B C D ABCD the angle in B ^ \widehat{B} is 42 ° 42° and M M is the midpoint of B C BC . H H is the point in the segment D M {DM} such that A H D ^ \widehat{AHD} is 90 ° 90° . Find D H C ^ \widehat{DHC} in degrees.


The answer is 111.

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