MathDB

2016.1

Part of Swiss NMO - geometry

Problems(1)

angle chasing , <BAC = 60^o , 2 < BAE = <ACB

Source: Switzerland - Swiss MO 2016 p1

7/15/2020
Let ABCABC be a triangle with ∠BAC=60o\angle BAC = 60^o. Let EE be the point on the side BCBC , such that 2∠BAE=∠ACB2 \angle BAE = \angle ACB . Let DD be the second intersection of ABAB and the circumcircle of the triangle AECAEC and PP be the second intersection of CDCD and the circumcircle of the triangle DBEDBE. Calculate the angle ∠BAP\angle BAP.
anglesgeometryequal anglescircumcircle