Respuesta :

devishri1977

Answer:

∠AMC  = 75

Step-by-step explanation:

ΔABC,

∠C = 90°  ; ∠B = 30°

∠A + ∠B +∠C  = 180   {Angle sum property of triangle}

∠A + 30 + 90 = 180

       ∠A + 120 = 180

                 ∠A = 180 - 120

                 ∠A  = 60°

In ΔACM,

∠ACM = 90/2  =  45°         { CM is angle bisector}

∠ACM + ∠AMC +∠A =  180   {angle sum property}

   45 +  ∠AMC + 60 = 180

            ∠AMC + 105 = 180

                     ∠AMC = 180 - 105

∠AMC  = 75

 

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