Question

Find the value of the variables in the figure below

Answer 1

Answer:

The answer to your question is:

x = 21

y = 4

∡ = 75° and 105°

Step-by-step explanation:

Process

            3(x + y)° + 5x = 180                  supplementary angles

            3(x + y) = 4x - 9                        corresponding angles

Expanding

           3x + 3y + 5x = 180       (1)           Like terms

           3x + 3y = 4x - 9            (2)        

          8x + 3 y = 180         (1)

    8   (   -x  + 3 y = -9)       (2)           Multiply by 8

       8x  + 3y = 180       (1)

      -8x +24y = -72        (2)                    Elimitation method

               27 y = 108

                  y = 108 / 27

                  y = 4        

         8x + 3 (4) = 180

         8x +12 = 180

               8x    =  168

              x = 21

             

3(21 + 4) = 3(25) = 75°

5(21) = 105°