Question

please send me right answer with full explanation please answer fast​

Answer 1

$\text{Given : Lines AB , CD and EF intersect at O.}\\\\\text{To find : \angle AOC and \angle COF .}\\\\\text{ \rightarrow As lines CD and AB intersect at O so their opposite angles will be equal.}\\\\\text{ \implies \angle AOC = \angle BOD }\\\\\therefore\underline{\mathsf{\angle AOC = 35^{\circ} }}\\\\\text{Now, \angle EOA,\angle AOC,\angle COF all lie on a same straight line . }\\\\\text{Hence , their sum should me 180 ^{\circ} .}\\\\\angle EOA+\angle AOC+\angle COF = 180^{\circ}$

$\\\\40+35+\angle COF^{\circ}=180\\\\ \text{75+ \angle COF^{\circ}=180 }\\\\\text{ \angle COF^{\circ} = 180 - 75}\\\\ \therefore\underline{\mathsf{\angle COF = 105^{\circ}}}$