In the given figure, the adjacent angle to ∠POQ is
∠ROQ
Two angles are adjacent if they have
(i) a common vertex
(ii) a common arm and
(iii) the non common arms are an either side of the common arm.
In the given figure 'O' is the common vertex.
If we observe both the figures, only fig. (b) satisfies the (iii) condition that
the non common arms are on either side of the common arm.
So ∠ROQ is adjacent to ∠POQ