ABCD is a trapezium in which AB || CD and AD = BC, then ∠A = ∠B is
Construction: Draw perpendicular line from D and C to AB such that it cuts AB at F and E, respectively.
Now, In ∆ADF and ∆BCE,
AD = BC (Given)
∠AFD = ∠BEC (90o each)
DF = CE (Perpendicular distance between the same parallels)
∴ By SSA axiom
∆ADF ≅ ∆BCE
∠A = ∠B (by c.p.c.t.)
Therefore Option A is correct.