∠1 an ∠2 are alternate interior angles, which are angles that are <u>inside</u> both parentheses and are on <u>alternate sides</u> of the transversal. The Alternate Interior Angles Theorem states that <u>if two lines are parallel and cut by a transversal, then the alternate interior angles formed are congruent</u>.
Since the lines are parallel as given in the question, ∠1 and ∠2 are of equal measure. We can solve for ∠2 by first solving for x, then plugging it in ∠2's measure.
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,