Answer
$m\widehat{HFJ}=290^{\circ}$
Work Step by Step
In order to compute the arc measurement, we must recall the following points
A) The measure of a semi-circle arc is equal to $180^{\circ}$
B) The measure of a minor arc is equal to the measure of its corresponding central angle.
C) The measure of a major arc is equal to the measure of the related minor arc subtracted from the angle $360^{\circ}$.
We will use arc addition postulate to obtain:
$m \widehat{HFJ}=m\widehat{JEF}+m\widehat{FH}$
We can see that $\widehat{JEF}$ is a semi-circle and $m \widehat{FH}=110^{\circ}$
So, $m\widehat{HFJ}=180^{\circ}+110^{\circ}$
or, $m\widehat{HFJ}=290^{\circ}$
