A = 82 – 8°
B = 5x + 25°
Solve for x and then find the measure of B:

Answer:
x = 11
m∠B = 80°
Step-by-step explanation:
If two parallel lines are cut by a transversal, the corresponding angles are congruent
m∠A = m∠B
8x - 8 = 5x + 25 ... minus 5x and add 8 both side
8x - 5x = 25 + 8
3x = 33
x = 11
m∠B = 5 x 11 + 25 = 80°
check: m∠A = 8 x 11 -8 = 80