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°