Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
ion of lines b and f, the bottom right angle is (6 x minus 36) degrees. What must be the value of x so that lines a and b are parallel lines cut by transversal f?
Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.
To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°: