Find m(arc) ij of circle h.
if:
m(arc) kj=110 degrees
a=100,b=150,c=110,d=250

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.