1
Question
AB, CD and EF are three concurrent lines passing through the point O such that OF bisects ∠BOD. If ∠BOF = 35°, find ∠BOC and ∠AOD.
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Solution
The corresponding figure is as follows:
Three concurrent lines are given as follows:
AB,CD and EF
Also, OF is the bisector of 
and it is given that
.Therefore,
Also,
Since, and
are vertically opposite angles. Therefore,
From (i) equation:
We know that and
form a linear pair.
Thus,
Similarly, and
form a linear pair.
Thus,
The corresponding figure is as follows:
Three concurrent lines are given as follows:
AB,CD and EF
Also, OF is the bisector of and it is given that.Therefore,
Also,
Since, andare vertically opposite angles. Therefore,
From (i) equation:
We know that and form a linear pair.
Thus,
Similarly, and form a linear pair.
Thus,
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