Need to find missing angles a b c d e

Ok so d is across from angle 70, thiat means that are equal, so d=70
then you can easily tell angle e is 180 - d, Wich is 110, so angle e is 110
angle a plus angle 70 is 90 degrees, so 90-70=20, so angle a is 20
it says angle b plus angle a is 90, we know angle a is 20, so 20plus 70 equals 90, so angle b is 70 degrees
angle b plus angle c equals 90, so we know b is 70. that makes angle c 20