Answer:
117°
Explanation:
similar objects have the same angles (and as second attribute of the relation there is one common scale factor between the sides of one object to the other).
the naming gives us the first clue about the correct orientation of both objects when establishing the similarity relation :
VWXYZ and
EDCGF
the letters on to of each other corresponds to each other.
formally is actually not really a requirement.
and for that reason we also get Y = 135° and G = 135°.
in combination with the longer and shorter side sequences we know that Y corresponds to G.
and that makes Z correspond with F, and so
Z = F = 117°.