Kamp '13 - Angle Chasing 10.
Dodao/la:
arhiva3. studenoga 2013. Na stranici

trokuta

leže točke
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,
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,

tako da je
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između
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i
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, a
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između

i
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. Ako je
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,

,

,

te
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. Izračunajte koliki je
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.
%V0
Na stranici $AB$ trokuta $\triangle ABC$ leže točke $F$, $G$, $H$ tako da je $F$ između $A$ i $G$, a $H$ između $G$ i $B$. Ako je $|BH| = |BC|$, $|HG| = |HC|$, $|GF| = |GC|$, $|FA| = |FC|$ te $\angle CAB = 5^{\circ}$. Izračunajte koliki je $\angle ABC$.
Izvor: Kamp 2013. - Angle Chasing, L. V.