In this figure, PQ = PR = PS and SRT = 68o. Find QPS
Attached Figure / Diagram
A
136o
B
124o
C
12o
D
68o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Since PQRS is quadrilateral 2y + 2x = QPS = 360o
i.e. 2(y + x) + QPS = 360o
QPS = 360o - 2(y + x)
But x + y + 68o = 180o
x + y = 180o - 68o = 180o
x + y = 180o - 68o
= 112o
QPS = 360o - 2(112o)
360o - 224o = 136o
Source: Myschool Past Questions Archive (Record #32980)