Squared Parallelogram

Geometry Level 5

\(ABC\) is a triangle with side lengths \(AB = 23, BC = 32, CA = 44\). Squares \(ABHI\), \(BCFG\) and \(CADE\) are erected on the outside of triangle \(ABC\). \(X\) and \(Y\) are points such that \( BHXG\) and \(CEYF\) are parallelograms. What is the measure (in degrees) of angle \( XAY\)?

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