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In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS =...

Mathematics
WAEC 2001

In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?

  • A. 75o
  • B. 80o
  • C. 85o
  • D. 95o
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Correct Answer: Option B
Explanation

< PQS = 50° (PQ = PR)

< PQS = < SPQ = 50° (QS = PS)

In triangle PSQ, < PQS + < QPS + < PSQ = 180°

50° + 50° + < PSQ = 180°

< PSQ = 180° - 100° = 80°

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts