Try to create one situation where the given statement is true, and one where it is not.
Sometimes
Practice makes perfect
Let's begin by creating a situation where two angles are both complementary and adjacent.
The angles ∠ TSU and ∠ USR are adjacent because they share a vertex S and a side SU, and do not have any common interior points. They are also complementary because the sum of their measures is 90^(∘).
m∠ TSU+m∠ USR=30^(∘) + 60^(∘) = 90^(∘)
Therefore complementary angles can be adjacent. Let's now find a situation where two angles are complementary but not adjacent.
Angles ∠ TUV and ∠ XYZ are complementary, but they do not share a side or a vertex. Therefore, they are not adjacent. We can conclude that complementary angles are sometimes adjacent.
