The walking path around a rectangular pond is planned so that the four corners form a quadrilateral STUV. At corner S, the interior angle is 82∘ and at the opposite corner T, it is 98∘. The remaining two interior angles are in the ratio 5:4.
(i) Verify whether STUV can be constructed as a cyclic quadrilateral.
(ii) If your answer in part (i) is affirmative, find the exact measures of ∠U and ∠V. Show complete working.