Let $T$ be the event of rain on Thursday, and $F$ be the event of rain on Friday.
In general, we have the inclusion-exclusion law:
$$P(A \cup B ) = P(A) + P(B) - P(A \cap B)$$
So, applied to this case:
$$P(T \cup F) = P(T) + P(F) - P(T \cap F) = 0.6 + 0.35 - 0.2 = 0.75$$