Answer: x=3
Explanation:
When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.
9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.
9x+20= 15x+2. Subtract 9x from both sides.
20= 6x+2. Subtract 2 from both sides.
18=6x. Divide both sides by 6.
3=x