Please help me with this math question?

Question

Circle F is intersected by HI and IJ and m∠HIJ = 101°. What is the measure of HJ?

 

 

Here's a link to the picture: http://imgur.com/a/O8pO3

Answer 1

Call the center of the circle point F.   Then m∠HFJ =  180 - 101 = 79.   The angle HFJ is a central angle.  Therefore the minor arc HJ also has measure 79.  The major arc HJ has measure 360 - 79 = 281.