Answer:
A. 125°
Step-by-step explanation:
Based on the angles of intersecting chord theorem, we have:
90° = ½(measure of arc NM + measure of arc JK)
Arc NM = 55°
Arc JK = ??
Plug in the value into the equation.
90° = ½(55 + JK)
Multiply both sides by 2
2*90 = 55 + JK
180 = 55 + JK
Subtract 55 from each side
180 - 55 = JK
125° = JK
JK = 125°