six less than seven times a number: 7n - 6
eight more than five times a number: 5n + 8
both angles are corresponding, the corresponding angles are equal.
so
7n - 6 = 5n + 8
2n = 14
n =7
so
7n - 6 = 7(7) - 6 = 49 - 6 = 43
5n + 8 = 5(7) + 8 = 35 + 8 = 43
answer
each angle = 43 degrees