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?

Alternate exterior angles, when parallel lines are cut by a transversal, are congruent. Therefore, the angles are equal ... so set them equal.

6x + 5 = 7x - 4 ... now we solve for x

6x - 7x = - 4 - 5

-x = - 9

x = 9

one angle (6x + 5) = 6 (9) + 5 = 54 + 5 = 59 degrees

other angle (7x - 4) = 7 (9) - 4 = 63 - 4 = 59 degrees

as u can see, they are both congruent and they each measure 59 degrees