In the given figure, ray OC is the bisector of and OD is the ray opposite to OC. Show that =.

Question

In the given figure, ray OC is the bisector of and OD is the ray opposite to OC. Show that = .

Philoid · Accepted Answer

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