z = 113° and x = 24
z = 180° - 67° = 113° → (consecutive angles are supplementary)
5x - 7 = z → (alternate angles are equal)
5x - 7 = 113
add 7 to both sides
5x = 113 + 7 = 120
divide both sides by 5
x = [tex]\frac{120}{5}[/tex] = 24
