Please help me I have been stuck for a while

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.

1.based of the diagrams what is the the value of x? 2.how would you verify your answer for x

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0