Question

How many pairs of adjacent angles, in all, can you name in Fig.?

Answer 1

There are 10 adjacent pairs in the given figure; they are:
$$\begin{gathered} \angle \mathrm{EOD}\mathrm{and}\angle \mathrm{DOC} \\ \angle \mathrm{COD}\mathrm{and}\angle \mathrm{BOC} \\ \angle \mathrm{COB}\mathrm{and}\angle \mathrm{BOA} \end{gathered}$$
$$\begin{gathered} \angle \mathrm{AOB}\mathrm{and}\angle \mathrm{BOD} \\ \angle \mathrm{BOC}\mathrm{and}\angle \mathrm{COE} \\ \angle \mathrm{COD}\mathrm{and}\angle \mathrm{COA} \\ \angle \mathrm{DOE}\mathrm{and}\angle \mathrm{DOB} \end{gathered}$$
$$\begin{gathered} \angle \mathrm{EOD}\mathrm{and}\angle \mathrm{DOA} \\ \angle \mathrm{EOC}\mathrm{and}\angle \mathrm{AOC} \\ \angle \mathrm{AOB}\mathrm{and}\angle \mathrm{BOE} \end{gathered}$$