In the given figure, ray OC is the bisector of and OD is the ray opposite to OC. Show that =.
Proof
Given OC is the bisector of
Therefore, ∠AOC = ∠COB ______________________ (i)
DOC is a straight line,
+= 180° _______________ (ii)
Similarly, += 180° ________________ (iii)
From equations (i) and (ii)
⇒ += +
⇒+ = + (from equation (i))
⇒ = Proved