Question

Hey everyone Good Morning This is ur question The angles of a triangle are 2(x-7),3/2(x-1),and 3(x+11) Find x​

Answer 1

Good Morning!

Answer:

x = 25

Step-by-step explanation:

The Sum of three angles of a triangle is 180

So,

             2(x-7) + 3/2(x-1) + 3(x+11) = 180

             2x - 14 + (3x-3)/2 + 3x + 33 = 180

             5x + 19 +  (3x-3)/2  = 180

              5x +  (3x-3)/2  = 180 - 19

Taking LCM on right side;

              (10x + 3x - 3)/2 = 161

Multiplying both sides by 2

           

               13x - 3 = 322

                    13x = 322 + 3

                    13x = 325

Dividing both sides by 13

                       x = 25