Question

I NEED UR HELP PLEASE..

Answer 1

           LMN = LMP + PMN
Thus   LMN = (3x + 2)° + (2x - 7)° = (5x - 5)°

Since LMN = 140°
Then ⇒ (5x - 5)° = 140°
         ⇒          5x = 145
         ⇒            x = 29

                                         ∴  x  = 29

Answer 2

∠LMP + ∠PMN = ∠LMN        Angle Sum Theorem
 3x+2  +    2x-7 = 140            Substitution
              5 x - 5 = 140            Add like terms
                   5x  = 145            Add 5 to both sides
                     x  =  29             Divide both sides by 5

Answer: x = 29