PDF chapter test TRY NOW

In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O.
 
Show that:
 
(i) OB = OC                     
 
(ii) AO bisects ∠A
 
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Important!
This is a creative exercise. Your teacher will check it manually.