Question

What’s the measure of angle x?

Answer 1

M<E = 39
m<JIH = 105
m<JIE + m<JIH = 180
m<JIE = 180 - 105 = 75

m<E + m<JIE + m<IJE = 180
39 + 75 + m<IJE = 180
m<IJE = 66

x = m<IJE (vertical angles)

x = 66

Answer 2

I attached pictures of my work. Please let me know if there is something that you do not understand. 

Answer:
x= 66°