Question
Let A, O, B be collinear with O ∈ (AB), C, O, D also collinear with...
Let A, O, B be collinear with O ∈ (AB), C, O, D also collinear with O ∈ (CD) E in the interior of the ∠AOC and F in the interior of the ∠BOD such that O ∈ (EF). If (OE is the bisector of the ∠AOC prove that (OF is the bisector of the ∠BOD
Homework Answers
Answer #1
Consider the picture. Suppose
assume 
is the bisector of
. Thus we
have 
, say. Note that 
,
thus 
.
Again note that 
,
thus 
, thus we have 
. Similarly by same argument shows that 
. Hence we have 
, hence 
bisects 
.
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