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

Mathematics

JAMB 1988

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

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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

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

Correct Answer: Option D

Explanation

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