Geometry Problems, Online Education

Geometry Problem 599: Decoding Geometric Enigmas: Revealing the Midpoint Mystery and Angle BMC in a Hexagon-Square Puzzle! for High School and College.

In the given figure, there is a regular hexagon ABCDEF and a square CDGH. Let M be the midpoint of the segment AH. Determine the measure of angle BMC.

 

Regular Hexagon, Square, Angle
 
  

Hexagon and square,
Interwoven shapes of math,
Midpoint holds its key.
Angle BMC, we seek,
Geometry's secret speaks.