In the diagram, /PQ/ = /QR/ and /PR/ = /RS/ = /SP/, calculate the side of < QRS
Attached Figure / Diagram
A
150o
B
120o
C
90o
D
60o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Since |PR| = |RS| = |SP|
\(\bigtriangleup\) PRS is equilateral and so o
But o (Opposite interior angles of a cyclic quadrilateral)
o
o
But in \(\bigtriangleup\) PQR, PQ = PR, hence o (Angles in a triangle)
2 o
From the diagram, o
Source: Myschool Past Questions Archive (Record #36406)