Answer:
248 degrees
Step-by-step explanation:
Since segment PL is congruent to segment LK, their corresponding arcs are also congruent. Knowing this, we can set 11x - 10 and 9x + 2 equal to each other:
11x - 10 = 9x + 2
2x = 12
x = 6.
So, plugging in 6 into the value of x for both minor arcs gives us that arc PMK is 112 degrees. Since the whole circle is 360 degrees, major arc PNK is 360 - 112 = 248 degrees.
Hope that helped! :)
