Question

Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?

Answer 1

Answer:

48

Step-by-step explanation:

Vertical angles are congruent

7x - 22 = 4x + 8     {Add 22 to both sides}

         7x = 4x + 8 + 22

        7x = 4x + 30         { subtract 4x from both sides}

7x - 4x = 30

         3x = 30

           x = 30/3

x = 10

4x + 8 = 4*10 + 8

          = 40 + 8

          = 48

7x - 22 = 7*10 - 22

            = 70 - 22

            = 48