In the given figure, is a chord of a circle with center and is produced to such that Also, is joined and produced to meet the circle in If and prove that

Question

Philoid · Accepted Answer

Given, OB = OC

Then, ∠BOC = ∠BCO = y°

External ∠OBA = ∠BOC + ∠BCO = (2y)°

Now,

OA = OB

Then, ∠OAB = ∠OBA = (2y)°

External ∠AOD = ∠OAC + ∠ACO

= ∠OAB + ∠BCO = (3y)°

∴ x° = (3y)°[Given ]