As for question 3, in question range 1-9, vertical angles are angles that are opposite to each other when lines intersect and these angles are equal.
Hence,
[tex]\begin{gathered} \angle6\text{ = }\angle3 \\ \text{Since }\angle3\text{ is directly opposite to }\angle6\text{ as the lines intersect} \end{gathered}[/tex]As for question 6, in question range 1-9, adjacent angles are angles that have a common vertex and a common side but do not overlap.
Hence,
[tex]\begin{gathered} \text{Two angles adjacent to }\angle5\text{ are }\colon \\ \angle4\text{ and }\angle6 \end{gathered}[/tex]