Answer:
100 degrees (first choice)
Step-by-step explanation:
So we can actually find the degree measure of arc KI because there is a theorem that says this twice the angle IJK.
75(2)=150 is the degree measure of arc KI.
So a full rotation around a circle is 360 degrees.
This means the following equation should hold:
m(arc)KJ+m(arc)IJ+m(arc)IK=360
Inserting the values given for the arc measures we know:
110 +m(arc)IJ+ 150 =360
Add 110 and 150:
260 +m(arc)IJ =360
Subtract 260 on both sides:
m(arc)IJ =100
So m(arc)IJ is 100 degrees.
