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

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

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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ok then what happened.