Question

If lines a and b are parallel determine the value of x.

Answer 1

C. 15
The 2 angles are the same because they are alternate interior angles, so...
4x - 30 = 2x
4x = 2x + 30
2x = 30
X = 15

Answer 2

Answer: x = 15

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Work Shown:

If line a is parallel to line b, then the alternate interior angles (4x-30) and (2x) are equal to one another.

Let's solve for x

4x-30 = 2x

4x-2x = 30

2x = 30

x = 30/2

x = 15