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solve for x, y, and z​

Solve For X Y And Z class=

Sagot :

Devishri1977idn

Answer:

Step-by-step explanation:

8x + 13y + 7 = 180     {Linear pair}

8x + 13y = 180 - 7

8x + 13y =173         -------------------(I)

9x - 7 + 13y + 7 = 180        {linear pair}

9x + 13y = 180 ----------------(II)

Multiply equation by (-1) and then add with equation (II). And thus y will be eliminated.

(I)* (-1)           -8x - 13y = -173

(II)                 9x + 13y = 180    {Now add}

                      x           =  7

Plug in x = 7 in equation (I)

8*7 + 13y = 173

56   + 13y = 173

         13y = 173 - 56

         13y = 117

           y = 117/13

          y = 9

5y - 11 + z + 8x = 180    {Straight line angles}

5*9 - 11 + z + 8*7 = 180

45 - 11 + z + 56   = 180

            z + 90    = 180

                       z = 180 - 90

z = 90

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