Lines l and m are parallel and are intersected by a transversal t. At the point where t meets l, the acute angle lying inside the region between l and m measures (4x+15)∘. At the point where t meets m, the alternate interior angle on the same side of the transversal measures (7x−9)∘.
a. (i) Find the value of x.
b. (ii) Using this value of x, determine the measure of each of the eight angles formed by t with the two parallel lines. For every angle calculated, clearly state the angle–pair relationship you have applied.