Squared Parallelogram

Geometry Level 5

ABCABC is a triangle with side lengths AB=23,BC=32,CA=44AB = 23, BC = 32, CA = 44. Squares ABHIABHI, BCFGBCFG and CADECADE are erected on the outside of triangle ABCABC. XX and YY are points such that BHXG BHXG and CEYFCEYF are parallelograms. What is the measure (in degrees) of angle XAY XAY?

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