Answer:
x = 52 degrees
Step-by-step explanation:
Since HI and JK are parallel, that means they have congruent corresponding angles. Which basically means that angle K (62 degrees) is a corresponding angle to angle I. So angle I would be 62 degrees, too.
All you need to do is add 66 and 62 together, and subtract the sum from 180 (you're subtracting from 180 because the angles of a triangle all add up to 180 degrees).
66 + 62 = 128
180 - 128 = 52
