A quadrilateral is a polygon with four sides and four angles. In any quadrilateral, there are two pairs of opposite angles - angles that are across from each other and do not share a side. The sum of these two opposite angles is 180 degrees.


Let's analyze each option to determine which one satisfies the given condition.

Square:
A square is a quadrilateral with all four sides equal in length and all four angles equal to 90 degrees. In a square, opposite angles are equal, but their sum is not 180 degrees. Therefore, a square does not meet the given condition.

Rhombus:
A rhombus is a quadrilateral with all four sides equal in length, but its angles can vary. In a rhombus, opposite angles are not necessarily equal, and their sum is not always 180 degrees. Therefore, a rhombus does not meet the given condition.

Parallelogram:
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. In a parallelogram, opposite angles are equal, but their sum is not necessarily 180 degrees. Therefore, a parallelogram does not meet the given condition.

Cyclic:
A cyclic quadrilateral is a quadrilateral that can be inscribed in a circle. In a cyclic quadrilateral, opposite angles are supplementary, which means their sum is always 180 degrees. Therefore, a cyclic quadrilateral satisfies the given condition.


Based on the analysis, the only option that meets the condition of having opposite angles with a sum of 180 degrees is a cyclic quadrilateral. Therefore, the correct answer is option 'D'.

Cyclic
If the sum of any pair of opposite angles of a quadrilateral is `180^@`; then the quadrilateral is cyclic.