Respuesta :

Answer:

56°

Step-by-step explanation:

Because the two lines are parallel, the corresponding angles are equal. The two corresponding ∠s are ∠A and ∠B. ∠A=∠B

∠A=4x

∠B=2(x+14)

4x = 2 (x+14)

the right side requires the distributive property

a) 4x = 2x+28

2x = 28

x = 14

b) now plug in x for both ∠s to find ∠A and ∠B

∠A = 4x = 4(14) = 56°

∠B = 2(x+14) = 2(14+14) = 2(28) = 56°

I just did both angles to show that they are equal and it is a way to check your work