ABCD is a parallelogram in which A =110°. Find the measure of each of the angles B, C and D.

Since the sum of any two adjacent angles of a parallelogram is 180°,

∠A + ∠B = 180°

110° + ∠B = 180°

∠B = (180° - 110°) = 70°

Also, ∠B + ∠C = 180° [Since, ∠B and ∠C are adjacent angles]

70° + ∠C = 180°

∠C = (180° - 70°) = 110°.

Further, ∠C + ∠D = 180° [Since, ∠C and ∠D are adjacent angles]

110° + ∠D = 180°

∠D = (180° - 110°) = 70°.

Therefore, ∠B = 70°, ∠C = 110° and ∠D = 70°.