Respuesta :

A and B are now alternate interior angles, and they are the same. Due to that fact, we can calculate x pretty easily:

A = 5x - 12 = B = 2x + 24

5x - 2x = 24 + 12

3x = 36

x = 36/12 = 3

So, B = 2x + 24 = 2*12 + 24 = 24 + 24 = 48.

Answer:

48

Reason:

since the angles are alternate interior angles, they = each other since the lines are parallel.

5x - 12 = 2x + 24

3x - 12 = 24

3x = 36

x = 12

Then plug it in to <B

2(12) + 24

24 + 24 = 48

48 is your answer