Total surface area is 152 cm
        
             
        
        
        
9514 1404 393
Answer:
   MP = 38
Step-by-step explanation:
Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.
   3x +14 = 9x -34
   48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides
   24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)
   NP = 3x +14 = 24 +14 = 38
   NP = OP = MP = 38
 
        
             
        
        
        
Answer:
80°
Step-by-step explanation:
∠ABC= ∠ABD+∠CBD
as BD bisects ∠ABC, we have 
∠ABC= 2*4x= 8x= 80°