In a rhombus, diagonals are perpendicular bisectors of each other. They also bisect the interior angles.

Given \( \angle RPS = 86 \times \angle PTS \). In rhombus QRST, \( \angle PTS \) and \( \angle RPS \) are related through the diagonal intersection at P.

Using angle properties of the rhombus, \( \angle QPR = 86^\circ \).

Final Answer: 86°