Two parallel lines are cut by a transversal and form a pair of alternate exterior angles. One angle measures (6x + 5)° and the other measures (7x – 4)°. Explain how to determine what those angles actually measure?

Answer:

When parallel lines are cut by a transversal, alternate exterior angles are congruent. Set the expressions equal to each other to solve for x. Substitute the value of x back into either expression to solve for the angle measure.