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

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Mathematics WAEC 2001

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

  • 75o
  • 80o checkmark
  • 85o
  • 95o

The correct answer is: 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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