The correct option is D 60∘,60∘,120∘,120∘
Inequilateral△ERQ,∠REQ=∠EQR=∠QRE=60oGivenPQ∥SR,letRQbethetransversalthen∠SRQ+∠RQP=180o{SumofInteriorcorrespondingangles=180o}Soweget∠SRQ=180−60=120o{∠RQP=∠EQR=60o}Weknowthatinaisoscelestrapeziumbaseanglesareequal.So∠SPQ=∠RQP=60oGivenPQ∥SR,letSPbethetransversalthen∠RSP+∠SPQ=180o{SumofInteriorcorrespondingangles=180o}Soweget∠RSP=180−60=120o∴Themeasuresofthetrapeziumare:∠RSP=120o,∠SRQ=120o,∠RQP=60o,∠QPS=60o