Triangle With Squares!

Geometry Level 4

Given a triangle ABCABC, construct two squares ABPQABPQ and ACRSACRS. Suppose that MM is the midpoint of PRPR. Join MBMB and MCMC. Find BMC\angle BMC.

Details and Assumptions:

  • PP and CC are on opposite side of ABAB.

  • RR and BB are on opposite side of ACAC.

If you're interested, here is follow up question.

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