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MathNet 2016-part-06 — 184 problems (EN–VI) Question 134

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 134

Let $\triangle ABC$ be an acute angled triangle and $\angle ACB = 60^\circ$. Let $BL$ be a bisector line and $BH$ be an altitude. Let $LD$ be a perpendicular from $L$ on the side $BC$. Determine the angles of $\triangle ABC$ in case if $AB \parallel HD$.

Question illustration