MathDB

5

Part of 2006 Paraguay Mathematical Olympiad

Problems(1)

Problem 5

Source: Paraguayan Mathematical Olympiad 2006

7/22/2015
Let ABCABC be a triangle, and let PP be a point on side BCBC such that BPPC=12\frac{BP}{PC}=\frac{1}{2}. If ∡ABC\measuredangle ABC == 45∘45^{\circ} and ∡APC\measuredangle APC == 60∘60^{\circ}, determine ∡ACB\measuredangle ACB without trigonometry.
geometry