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 ?

Excellence in 4. From the given figure, answer the following questio

1.	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» (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