Angle bisector

Geometry Level 3

The perimeter of the △ A B C \triangle ABC is 4034. Point P P is on the exterior bisector of ∠ B A C \angle BAC , such that the perimeter of the △ B C P \triangle BCP is 2017.

What is the measure of the biggest angle of △ A B C \triangle ABC ?

120° 90° There is no such triangle 60° 45° Can't be determined 30° 75°

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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