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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