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.