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donjar

Titik dalam segitiga dan relasi sudut

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Diberikan sebuah titik $M$ dalam segitiga $ABC$. Garis $BM$ memotong $AC$ di $N$. Misalkan $K$ adalah pencerminan $M$ terhadap $AC$. Garis $BK$ memotong $AC$ di $P$. Jika $\angle CMP = \angle CMN$, buktikan bahwa $\angle ABP = \angle CBN$.


 



Konvers pernyataan terakhir juga berlaku :)



 


International Zhautykov Olympiad 2015, no. 2


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saya bantai trigon 2 halaman :D


 


eh, tapi solusi di mathlinks ada yang cakep loh, pakai


 



lemma keren dengan isogonal konjugat...



Edited by donjar

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