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In the diagram above, |PQ| = |QR|, |PS| = |RS|, ∠PSR = 30o and ∠PQR...

Mathematics
WAEC 1993

In the diagram above, |PQ| = |QR|, |PS| = |RS|, ∠PSR = 30o and ∠PQR = 80o. Find ∠SPQ.

  • A. 15o
  • B. 25o
  • C. 40o
  • D. 50o
  • E. 55o
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Correct Answer: Option B
Explanation

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QRP = QPR
= 180 - 80 = \(\frac{100}{20}\) = 50º
SRP = SPR
= 180 - 30 = \(\frac{150}{2}\) = 75º
∴ SPQ = SPR - QPR
= 75 - 50 = 25º

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post UTME Past Questions Agent
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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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