MathDB
2021 Team P9

Source:

March 2, 2021
geometry

Problem Statement

Let ABCABC be a triangle with circumcenter OO. Additionally, ∠BAC=20∘\angle BAC=20^\circ and ∠BCA=70∘\angle BCA = 70^\circ. Let D,ED, E be points on side ACAC such that BOBO bisects ∠ABD\angle ABD and BEBE bisects ∠CBD\angle CBD. If PP and QQ are points on line BCBC such that DPDP and EQEQ are perpendicular to ACAC, what is ∠PAQ\angle PAQ?
Proposed by Daniel Li
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