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,
![\begin{gathered} \angle6\text{ = }\angle3 \\ \text{Since }\angle3\text{ is directly opposite to }\angle6\text{ as the lines intersect} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/g6vv31pr6cnjm8yo02sphb6l26l1tkwol2.png)
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,
![\begin{gathered} \text{Two angles adjacent to }\angle5\text{ are }\colon \\ \angle4\text{ and }\angle6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ruzlspl8puggo5etldey7depb4ktj0st5k.png)