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Omni-MATH / Let ABC be a triangle with ∠BAC=60^(∘). Let AP bisect ∠BAC and let BQ bisect ∠ABC, with P on BC and Q on AC. If AB+BP=AQ+QB, what are the angles of the triangle? · Discussion

Discussing Let ABC be a triangle with ∠BAC=60^(∘). Let AP bisect ∠BAC and let BQ bisect ∠ABC, with P on BC and Q on AC. If AB+BP=AQ+QB, what are the angles of the triangle? · Omni-MATH

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