A carpenter installs two horizontal slats EF and GH in a window. A diagonal brace JK is fixed so that it meets EF at J and GH at K. The exterior angle between JK and slat EF is measured as 50∘, while the interior consecutive angle between JK and slat GH on the same side of the brace is 128∘. Answer the following:
a. (i) By calculation, verify whether the two slats are parallel.
b. (ii) If the design demands that the slats be parallel, by how many degrees should the angle at K be adjusted so that the requirement is met?