We want to find the measure of ∠ QPS in the given isosceles trapezoid. Let's start from drawing the graph.
We are given that m∠ PQR = 110. Recall that in isosceles trapezoid the base angles are congruent. Therefore angles ∠ PQR and ∠ QPS are congruent, so their measures are equal.
m∠ QPS = m∠ PQR ⇕
m∠ QPS=110