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

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Mathematics JAMB 1988

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

  • 80o
  • 60o
  • 45o
  • 40o checkmark

The correct answer is: 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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