Home » In the figure POQ is the diameter of the circle PQR. If PSR = 145o,…

In the figure POQ is the diameter of the circle PQR. If PSR = 145o,…

In the figure POQ is the diameter of the circle PQR. If PSR = 145o, find xo

A.
25^o
B.
35^o
C.
45^o
D.
125^o
E.
55^o

Correct Answer: Option E

Explanation

< PRQ = (frac{1}{2}) < POQ = 90o
< PSR + < PQR = 180o
< PQR = 180o – 145o = 35o
(bigtriangleup)PQR is a right angled triangle
x = 90 – < PQR
= 90o – 35o
= 55o