the answer
according to the figure,
we can find the value of angle delimited arc JM by following the method below:
since KL ≅ ML, so triagle KNL and NLM are similar by Angle Side Angle Theorem, it does mean that ∠LNK ≅LNM
therefore, 7x+7 = 8x -3, it implies 8x -7x = 7+3, x =10
consequently we can find the value of the angle ∠JNM
13x+2 = 13*10+2 =130+2=132° (because x=10)
so the answer is 132°