Question

PO and so are angle bisector of angle C B and Angle B C D respectively meet at O then prove that angle BOC = 90 -1/2 angle BAC half angle BAC

Answer 1

Hello Mate!

Given : BO and CO are angle bisectors that meet at O.

To prove : < BOC = 90° - ½ < A

Proof : Please refer to attachment once.

Concept used = 1. Linear pair property.

2. Bisector angle property

3. Angle sum property.

Remember : < 1 and < PBO are equal since OB is bisector. < 2 and < QCB are equal since OC is bisector. Value of < B + < C is replaced by 180° - < A.

Have great future ahead!

Answer 2

Thanks for the ans @ShuchiRecites