In the given figure below, segment PQ is the longest side, segment SR is the shortest side of ∎PQRS. Prove that m∠R > m∠P. Hint: Use auxiliary set.

Question

Answer 1

PQRS is a quadrilateral about which you know only that length of PQ is longer than all 3 other sides and SR is the shortest side..

Although RS and PQ look to be parallel, this is NOT given!

Although PS and QR look to be the same length, this is also NOT given.

Without such information I can easily draw you a counterexample.