In the diagram, PR is a diameter of the circle centre O. RS is a...

MATHEMATICS
WAEC 2006

In the diagram, PR is a diameter of the circle centre O. RS is a tangent at R and QPR = 58o. Find ∠QRS

  • A. 112o
  • B. 116o
  • C. 122o
  • D. 148o

Correct Answer: C. 122o

Explanation

PRQ = 90 - 58 = 32o(angle in a semi-circle)

Since PRS = 90o(radius angular to tangent)

QRS = 90 + 32

= 122o



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