trapezium ABCD, with AB and DC being parallel, with diagonal connecting A and C, angle ABC is 86, angle ADC is y, angle dac is 66 and angle bac is x,

Question

no angle given for bcd or bca or acd.

find x and y,

So I said that BCD is 94 deg, but then I get stuck

I think I'm probably missing some rule or something but not sure what it is.

Answer 1

I agree that bcd is 94°
similarly, angle acd is x, so x+y+66=180.

Still looking for another angle (as it were) to connect x and y.

Answer 2

I think it might be an error in the question, but thanks for trying at least I know it's not just me.