Q.9 In the following figure:

(i) Is \(\angle \)1 adjacent to angle 2?

(ii) Is \(\angle \)AOC adjacent to angle AOE?

(iii) Do \(\angle \) COE and \(\angle \) EOD form a linear pair?

(iv) Are \(\angle \) BOD and \(\angle \) DOA supplementary?

(v) Is \(\angle \) 1 vertically opposite angle to angle 4?

(vi) What is the vertically opposite angle of \(\angle \) 5?

(i) Is \(\angle \)1 adjacent to angle 2?

(ii) Is \(\angle \)AOC adjacent to angle AOE?

(iii) Do \(\angle \) COE and \(\angle \) EOD form a linear pair?

(iv) Are \(\angle \) BOD and \(\angle \) DOA supplementary?

(v) Is \(\angle \) 1 vertically opposite angle to angle 4?

(vi) What is the vertically opposite angle of \(\angle \) 5?

(i) Yes, \(\angle \) 1 and \(\angle \) 2 are adjacent angles.

because it's one arm (OC) is common

(ii) No, \(\angle \) AOC is not adjacent to \(\angle \) AOE.

[ because OC and OE do not lie on either side of common arm OA] .

(iii) Yes, \(\angle \) COE and \(\angle \) EOD form a linear pair of angles.

(iv) Yes, \(\angle \) BOD and \(\angle \) DOA are supplementary.

[Because \(\angle \) BOD + because \(\angle \)DOA = 180°]

(v) Yes, \(\angle \) 1 is vertically opposite to \(\angle \) 4.

(vi) Vertically opposite angle of \(\angle \) 5 is \(\angle \) 2 + \(\angle \) 3 i.e. angle BOC.