Question 171290
no not necessarily you can make two 90 degree angles with acb and ade and get very different angles for b and e.  In the drawing below you can see that AB and AE are congruent and ACB congrent to ADE both at 90 degrees. but angle B and E are clearly not congruent

{{{drawing( 400, 300, -10, 10, -10, 10,
grid(1),
    

  triangle( -2,6,0,0,-3,4.5),
  triangle(3,6,5,0,2,2),
  locate(3,7,A),locate (1.5,2,D),locate(5.5,-.5,E),
  locate( -2,7,  A ), locate( .2, -.2, B ), locate( -3.5,3.5, C ))}}}