For "Find NK" I used the Pythagorean theorem but I'm not sure if that is the right way. The last question I think I answered the first two parts correctly but I get so confused with arcs. Please help. Thank!
You got the first one correct....
I'll look at the second one in just a bit
Second one....good job, so far
As you found QR and ST are equal so they span the same arcs...let the arcs they span = x
We have this equation
360 - QS - RT = QR + ST
360 - 34 - 98 = x + x
228 = 2x divide by 2
114° = x = measure of arc ST = measure of arc QR
And the measure of the span of arc XT = (1/2)(arc ST) = (1/2)(114°) = 57°