In this figure, PQ = PR = PS and SRT = 68o. Find QPS

Correct Answer: Option A

Explanation

Since PQRS is quadrilateral 2y + 2x = QPS = 360^o
i.e. 2(y + x) + QPS = 360^o
QPS = 360^o – 2(y + x)
But x + y + 68^o = 180^o
x + y = 180^o – 68^o = 180^o
x + y = 180^o – 68^o
= 112^o
QPS = 360^o – 2(112^o)
360^o – 224^o = 136^o