Online Geometry Problem 620: Three Rectangles, Diagonals, Centers, Angles. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows three rectangles ABCD, AEFG, and EDHI with centers K, L, and J, respectively. E is on BC, D on FG, and A on HI. If the measure of the angle AED is 55 degrees, find the measure of the angle JKL.