Q12 of 153 Page 118

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


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