To solve this problem, you must know that the measure of an inscribed angle is 1/2 the measure of the arc that it intercepts.
<FNR = 38, and we are trying to find the measure of arc RF (which is the arc that this angle intercepts)
Using the above equation, we know that FNR = 1/2 * RF
or
38 = 1/2 * RF
Therefore when simplified,
RF = 76 degrees
Your answer is the third option, or 76 degrees.
