Explanation:
an inscribed angle has its vertex on the circle, and the sides of the angle are two chords of the circle.
the inscribed angle is half the size of the arc angle (the angle at the center of the circle) of the arc that the two sides cut out of the circle.
110° is the arc angle (at the center of the circle) of the arc GJ.
for the inscribed angle GFJ the vertex is F, and the angle there is half of the arc angle :
angle GFJ = 110/2 = 55°
the second problem is the opposite "direction".
we have the inscribed angle FJH = 36°.
and we want the arc angle FH.
now, since the inscribed angle is half of the arc angle, the arc angle is twice the inscribed angle :
arc angle FH = 36×2 = 72°