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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