Question

Find the value of x that would make line p parallel to line r

Answer 1

50

Explanation:

28+ (3x + 2) = 180

30 + 3x = 180

-30 -30

3x = 150

/3x /3x

x = 50

Answer 2

There is a theorem that says if parallel lines are cut by a transversal, then same-side interior angles are supplementary (add up to 180 degrees).

If lines p and r were parallel, then angles 28 and (3x + 2) would add up to 180 degrees.

(28) + (3x + 2) = 180
3x + 30 = 180
3x = 150
x = 50