Question

In ΔABC,AD and CE are the bisectors of angle A and angle C respectively.AD and CE intersect at O.If Angle ABC=90°,then find angle AOC.

Answer 1

We have, OAC+OCA+AOC=180. (in terms of angles) Therefore A/2 + C/2 + AOC =180 But A+B+C=180 A+C=180-90=90. (A+C)/2=45 Hence, AOC=135.