Question

4
2
0.
9. In the adjoining figure
(1) Is I adjacent to 22?
(i) IS ZAOC adjacent to ZAOE?
(DO ZCOE and LEOD form a linear pair?
(iv) Are ZBOD and DOA supplementary?
(v) Is I vertically opposite to 24?
(vi) What is the vertically opposite angle of Z5?
3
D​

Answer 1

(i) Yes. Since they have a common vertex O and also a common arm OC. Also, their non-common arms, OA and OE, are on either side of the common arm.

(ii) No. They have a common vertex O and also a common arm OA. However, their non-common arms, OC and OE, are on the same side of the common arm. Therefore, these are not adjacent to each other.

(iii) Yes. Since they have a common vertex O and a common arm OE. Also, their non-common arms, OC and OD, are opposite rays.

(iv) Yes. Since $\angle{BOD}$and$\angle{DOA}$have a common vertex O and their non-common arms are opposite to each other.

(v) Yes. Since these are formed due to the intersection of two straight lines (AB and CD).

(vi)$\angle{COB}$is the vertically opposite angle of$\angle{5}$as these are formed due to the intersection of two straight lines, AB and CD.

Hence verified !