# 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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