In the diagram, /PQ/ = /QR/ and /PR/ = /RS/ = /SP/, calculate the side of
-
A.
150o -
B.
120o -
C.
90o -
D.
60o
Correct Answer: Option C
Explanation
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
2
QPR = (frac{60}{2}) = 30o
From the diagram,
30 + 60 = 90o