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. 75°
- B. 80°
- C. 85°
- D. 95°
Correct Answer: B. 80°
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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