A scientist looking at a sample of infected tissue through a microscope wants to find the length x, in microns, across a damaged blood cell, as represented in the sketch above. The lengths represented by AB, EB, BD, and CD were determined to be 26 microns, 22 microns, 11 microns, and 12 microns, respectively. Given that the measure of ∠AEB
is equal to the measure of ∠CDB
, what is the value of x?