The angle measurement in the diagram are represented by the following expressions.

x = 9 and ∠ B = 40°

Step-by-step explanation:

See the diagram given with the question first.

Here we have ∠ A = ∠ B {They are corresponding angles}

Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13

Hence, 5x - 5 = 3x + 13

⇒ 2x = 18

⇒ x = 9

Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)

thx so much for the free points and u have a nice day as well