UPSKILL MATH PLUS

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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.