<u>Given</u>:
Two parallel lines are cut by a transversal and form a pair of alternate interior angles.
One angle measures (6x + 5)° and the other measure (7x - 4)°
We need to determine the measure of each angle.
<u>Value of x:</u>
Since, the two angles are alternate interior angles, then the two angles are congruent.
Thus, we have;
Thus, the value of x is 9.
<u>Measure of each angle:</u>
The measure of each angle can be determined by substituting in the measures of each angle.
Thus, we have;
Thus, the measure of each angle is 59°