Given a triangle ABCABCABC, construct two squares ABPQABPQABPQ and ACRSACRSACRS. Suppose that MMM is the midpoint of PRPRPR. Join MBMBMB and MCMCMC. Find ∠BMC\angle BMC∠BMC.
Details and Assumptions:
PPP and CCC are on opposite side of ABABAB.
RRR and BBB are on opposite side of ACACAC.