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

In this figure, PQ = PR = PS and SRT = 68o. Find QPS
A. 136o
B. 124o
C. 112o
D. 68o

Correct Option: Answer is A
Solution:
PQRS is quadrilateral, hence
2y + 2x + QPS = 360o
i.e. (y + x) + QPS = 360o
QPS = 360o – 2 (y + x)
But x + y + 68o = 180o
There; x + y = 180o – 68o = 112o
QPS = 360 – 2(112o)
= 360o – 224 = 136o

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