Answer:
BE=24
Angle EBC=33
Step-by-step explanation:
Rectangle diagonals are congruent so
[tex]3x + 6 = 6x - 12[/tex]
[tex]3x + 18 = 6x[/tex]
[tex]18 = 3x[/tex]
[tex]x = 6[/tex]
Plug that in one of the equations.
[tex]3(6) + 6 = 24[/tex]
BE=24.
ECD is apart of Isoceles triangle EDC.
Another isoceles triangle is EAB.
They triangle share two sides( remeber all diag ki bals in a rectangle are congruent) and a angle E, so they are congruent triangles.
That means Angle EBA measures 57 degrees.
Angle EBC and Angle EBA add up to 90 degrees so
Angle EBC=33
