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- Fri Oct 16, 2020 10:12 pm
- Forum: Test Forum
- Topic: IM0 2020 Problem 1!
- Replies: 0
- Views: 6486
IM0 2020 Problem 1!
Problem 1. Consider the convex quadrilateral ABCD. The point P is in the interior of ABCD. The following ratio equalities hold: ∠P AD : ∠P BA : ∠DP A = 1 : 2 : 3 = ∠CBP : ∠BAP : ∠BP C. Prove that the following three lines meet in a point: the internal bisectors of angles ∠ADP and ∠P CB and the perpe...