Answer:The measure of arc PK is [tex]170\°[/tex]Step-by-step explanation:step 1Find the measure of angle ISVwe know that[tex]m<ISV+m<VSK=180\°[/tex] -----> by supplementary angleswe have[tex]m<VSK=38\°[/tex] substitute[tex]m<ISV+38\°=180\°[/tex][tex]m<ISV=180\°-38\°=142\°[/tex]step 2Find the measure of arc PKwe know thatThe measure of the inner angle is the semi-sum of the arcs comprising it and its oppositeLetx-----> the measure of arc IVy-----> the measure of arc PK[tex]m<ISV=\frac{1}{2}(x+y)[/tex]substitute the values and solve for y[tex]142\°=\frac{1}{2}(114\°+y)[/tex][tex]284\°=(114\°+y)[/tex][tex]y=284\°-114\°=170\°[/tex]