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In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and...

Mathematics
WAEC 1996

In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT

  • A. 30o
  • B. 35o
  • C. 40o
  • D. 70o
  • E. 110o
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Correct Answer: Option C
Explanation

< QRS = 35º alt

< PQS = 35º ( base

therefore, RSQ = 180º - ( 35º+ 35º) = 110º

therefore < QST = 180º- 110º = 70º

< SQT = 180º - ( 70º + 70º ) = 40º

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