Find all the angles of the parallelogram if one of the angles is 35.

A parallelogram is a quadrangle in which opposite sides are parallel and equal to each other. In a parallelogram, opposite angles are equal, and the sum of the angles at one side is 180º.

Thus:

∠А = ∠С;

∠В = ∠D = 35º;

∠А + ∠В = ∠В + ∠С = ∠С + ∠D = ∠D + А = 180º;

∠А = 180º – ∠В;

∠А = ∠С = 180º – 35º = 145º.

Answer: angle A and angle ∠C are equal to 145º, angle ∠B and angle ∠D are equal to 35º.