Here given that ABCD is trapezium where AB || DC.

We observe that ∠ A and ∠ D are the interior angles on the same side of transversal line AD, whereas ∠ B and ∠ C are the interior angles on the same side of transversal line BC.

As ∠A and ∠D are interior angles, we have,

∠A + ∠D = 180°
∴ ∠D = 180° − ∠A
∴ ∠ D = 180° − 55° = 125°
Similarly for ∠ B and ∠C,

∠ B + ∠C = 180°
∴ ∠C = 180°− ∠B
∴ ∠ C = 180° − 70° = 110°
Hence, measure of ∠ D and ∠ C are 125°and 110° respectively.