Question

Please help I don't understand I need an answer ASAP

Answer 1

B=48

Explanation:

so angle A and B are on what I call the z-angles which are normally equal in that if you view the parallel lines horizontally you will see the form of a z and the corners of it are equal that said you equate both of them to get x

5x-12=2x+24

join like terms

5x-2x=12+24

3x=36

x=12

so to find angle B substitute x with 12

Answer 2

B = 48

Explanation:

You are given that the two vertical lines are parallel. That means that the alternate interior angles are equal (they form a Z shape).

So the given is that A = B

A = 5x - 12

B = 2x + 24

Solution

5x - 12 = 2x + 24

5x - 12 = 2x + 24 + 12

5x = 2x + 36

5x - 2x = 36

3x = 36

x = 36/3

x = 12

================

B is

B = 2x + 24

B = 2*12 + 24

B = 24 + 24

B = 48