9. In the adjoining figure:
(i) Is adjacent to ?
(ii) Is adjacent to ?
(iii) Do and form a linear pair?
(iv) Are and supplementary?
(v) Is vertically opposite to ?
(vi) What is the vertically opposite angle of ?
(i) Yes, adjacent to as these have the same vertex and have one common arm.
(ii) No, is not adjacent to . This is because contains .
(iii) Yes the given angles form a linear pair as they are pair of supplementary angles.
(iv) Since BOA is a straight line thus the given angles are supplementary.
(v) Yes, and are vertically opposite angles as they are the angles formed by two intersecting straight lines.
(vi) The vertically opposite angle to is .