In the fig. true statements are:

                      

Adjacent angles: If two angles in a plane  having a common vertex, a common side and their interiors do not have any common point, then they are said to be adjacent angles.

A: $\overline{)AOB},\overline{)BOC}$ common vertex$=O$

                               Common side(arm) $=OB$

                               Interiors do not have any common point

$\therefore$ $\overline{)AOB},\overline{)BOD}$ are adjacent angles

B: $\overline{)BOC},\overline{)BOD}$  common vertex$=O$

                               Common side(arm) $=OB$

                               Interior of $\overline{)BOC}$  lies in $\overline{)BOD}$

$\therefore$ $\overline{)BOC},\overline{)BOD}$ are not adjacent angles.(False)

C: $\overline{)AOB},\overline{)COD}$  common vertex$=O$

                               Common side(arm) = no common arm

$\therefore$ $\overline{)AOB},\overline{)COD}$   are not adjacent angles. (False)

D: $\overline{)AOC},\overline{)COD}$  common vertex$=O$

                               Common side(arm) $=OD$

                               Interiors do not have any common point

$\therefore$ $\overline{)AOC},\overline{)COD}$ are adjacent angles.(True)