# A Few Rectangles

Geometry Level 4

$$ABCD$$ is a rectangle with center $$J$$. $$E$$ is a point on $$BC$$ such that $$\angle AED = 25 ^\circ .$$ $$AEFG$$ is a rectangle with center $$K$$ such that $$D$$ lies on $$FG$$. $$DEHI$$ is a rectangle with center $$L$$ such that $$A$$ lies on $$HI$$. What is the measure (in degrees) of $$\angle KJL$$?

Details and assumptions

The center of a rectangle is the intersection of the 2 diagonals.

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