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In the diagram, KS is a tangent to the circle centre O at R and...

Mathematics
WAEC 2004

In the diagram, KS is a tangent to the circle centre O at R and ∠ROQ = 80o. Find ∠QRS.

  • A. 90o
  • B. 80o
  • C. 50o
  • D. 40o
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WAEC offline past questions - with all answers and explanations in one app - Download for free
Correct Answer: Option D
Explanation

QOP = 180 - 100(straight line angle) → 80°
OPQ and OQP are isosceles of 40° each.

∠QRS = ∠RPQ (theorem: angle in the alternate segment are equal)
∠RPQ = 40o
∠QRS = 40o

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995