Question

Excellence in
4. From the given figure, answer the following questions :
(i) Do Z AOB and Z BOC form a linear pair ?
(ii) Are ZAOB and Z COD vertically opposite angles ?
(ii) Do Z AOD and Z DOC form a linear pair ?​

Answer 1

Answer:

(i) No. AOB=85°, BOC=80°

Linear pair occurs when two angles lie on a straight line (180°).

→AOB+BOC=180°

→85°+80°=180°

→165°≠180°

(ii) No. Vertically opposite angles are the angles which are the angles opposite each other when lines cross and they are always equal.

→AOB=COD

→85°≠125°

(iii) No.

AOD+DOC+COB+BOA=360°

AOD+125°+80°+85°=360°

AOD+290°=360°

AOD=360°-290°

AOD=70°

Linear pair occurs when two angles lie on a straight line (180°).

→AOD+DOC=180°

→70°+125°=180°

→195°≠180°

Very glad to help you