I think it is 50? (Sorry if im wrong tho.)
Based on the picture above,
The theorem or postulate that justifies that Angle HEF ~ angle HGE is :
A. AA similarity postulate
(s is used for equal side, that is used for congruent)
hope this helps
180 degrees in a triangle. subtract the 2 know angles to get the third.
180-39-24=117