Question

<E and <F are vertical angles. If m<E 17x+1 and m<F 20x-14, find m<F

Answer 1

vertical angles are congruent (equal)

17x + 1 = 20x - 14

        1 = 3x - 14         subtracted 17x from both sides

      15 = 3x               added 14 to both sides

       5 = x                  divided both sides by 3

F = 20x - 14   = 20(5) - 14   = 100 - 14   = 86

Answer: 86°