Question

Find m(arc) IJ of circle H.

If:


m(arc) KJ=110 degrees


a=100,b=150,c=110,d=250

Answer 1

100 degrees (first choice)

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.