ok well when you look at the attachment you can see the diagram i am supposed to be using to figure out the answer to the questions. i dont know where to start i havent had geometry since high school, and to be honest we dont use much of it in calculus. so anyways im stuck on #16 and #15 on the handout. if arc HI = 80 degrees and arc JI = 75 what is the measure of angle HKI? see my first question is why did they break up the arcs? if you add them together wouldnt arc HJ = 155 degrees?

IMG.pdf my next problem im having is that the center of the circle is Q but the center of the inscribed box is K, i found some identities but they are using the center of the circle as reference, which means i cant use them? any help that could be provided would be greatly appreciated..thanks in advance...