Home » Mathematics » In the figure, PQRS is a circle. If chords QR and RS are equal, calculate…

In the figure, PQRS is a circle. If chords QR and RS are equal, calculate…

In the figure, PQRS is a circle. If chords QR and RS are equal, calculate the value of x

A.
80^o
B.
60^o
C.
45^o
D.
40^o

Correct Answer: Option D

Explanation

SRT is a straight line, where QRT = 120
SRQ = 180o – 120o = 60o – (angle on a straight line)
also angle QRS = 180o – 100o (angle on a straight line) . In angles where QR = SR and angle SRQ = 60o
x = 100 – 60 = 40o