I need help with both of these questions please!

1st question: Given the figure below, find the values of x and z.

2nd question: Find the value of x.

The answer to your question is below

Step-by-step explanation:

1)

Process

1.- Find z

                 z = 107°              because they are vertical angles

2.- Find x

            5x - 7 + 107 = 180        Because they are supplementary angles

            5x  = 180 + 7 - 107  

              5x = 80

              x = 80/5

             x = 16

2)

The sum of the internal angles in a triangle equals 180

             65 + 50 + x = 180

             x = 180 - 65 - 50

             x = 65°