Answer:
Both angles measure 59°
Explanation:
When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent, meaning they are equal to each other. Since the angles are equal, we can set their expressions equal to each other and solve for 'x':
6x + 5 = 7x - 4
Combine like terms/add '4' to both sides: 6x + 5 + 4 = 7x - 4 + 4 or 6x + 9 = 7x
Subtract '6x' from both sides: 6x + 9 - 6x = 7x - 6x or 9 = x
Since x = 9, we can solve for the angles to check:
Angle 1: 6(9) + 5 = 59°
Angle 2: 7(9) - 4 = 59°