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In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS| =...

Mathematics
WAEC 2019

In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS| = |OT| and ∠OST = 50°. Calculate the value of ∠OPQ.

  • A. 100\(^o\)
  • B. 120\(^o\)
  • C. 140\(^o\)
  • D. 160\(^o\)
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Correct Answer: Option A
Explanation

S\(O\)T = 180\(^o\) - (50 + 50) 

= 80\(^o\) 

P\(Q\)R = 80\(^o\)

= \(\frac{360^o - 160^o}{2}\) = 100\(^o\)

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