Three lines are concurrent from point O , if two of the adjacent angles are 40° and 60° , find all the angles made by all three lines
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Lines AB,CD and EF intersect at O As OF bisects ∠BOD
⟹∠DOF=∠BOF=35(Given).....(1)
Also, AB is a straight line ⟹∠AOD+∠DOF+∠BOF=180(sum of angles formed by straight line is 180)
⟹∠AOD+35+35=180⟹∠AOD=180−70=110Now∠AOD=∠BOC
(Vertically opposite angle) ⟹∠BOC=110
Step-by-step explanation:
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