ANSWER
xº = 52º
EXPLANATION
Since segments HI and JK are parallel, we can see segment AK as a transversal:
So angle JKA and angle HIA are corresponding angles and they are congruent.
Then we have triangle HAI, and we have two of the angle's measures. The sum of the measures of the interior angles of a triangle is 180º:
[tex]xº+66º+62º=180º[/tex]
Solving for x:
[tex]\begin{gathered} xº+128º=180º \\ xº=180º-128º \\ xº=52º \end{gathered}[/tex]
