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In the figure, PQ is parallel to SQ; QS bisects < PSQ, < PQS is...

Mathematics
JAMB 1979

In the figure, PQ is parallel to SQ; QS bisects < PSQ, < PQS is 65º, and < RPS is 20º. What is the size of < PRS?

  • A. 45o
  • B. 35o
  • C. 40o
  • D. 30o
  • E. 42o
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Correct Answer: Option D
Explanation

PSR = 65º x 2  = 130°

PRS = 180º - (130º + 20º) º = 30

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