IGO 2016 Elementary/4

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IGO 2016 Elementary/4

Post Number:#1  Unread postby Thamim Zahin » Tue Jan 10, 2017 2:19 pm

4. In a right-angled triangle $ABC (\angle A = 90)$, the perpendicular bisector of $BC$ intersects the line $AC$ in $K$ and the perpendicular bisector of $BK$ intersects the line $AB$ in $L$. If the line $CL$ be the internal bisector of $\angle C$, find all possible values for angles $\angle B$ and $\angle C$.
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Thamim Zahin
 
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