The correct option is C x−73=y−25=z−4−1
Let opposite vertex be A(7,2,4).
Hence, any point on above line be B≡(5λ−6,3λ−10,8λ−14)
Direction ratios of line AB are (5λ−13,3λ−12,8λ−18)
Direction ratios of line BC are (5,3,8).
Since, the angle between AB and BC is π/4.
Squaring and solving, we get λ=3,2
Hence, equation of lines are x−72=y−2−3=z−46 and x−73=y−26=z−42