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In the parallelogram PQRS above, find angle SQR

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Mathematics JAMB 2007

In the parallelogram PQRS above, find angle SQR

  • 100o checkmark
  • 80o
  • 50o
  • 30o

The correct answer is: A

Explanation

x = 30o (alternate ∠s b/c PQ//Sr)
Y = 50o (vertical opposite ∠s)
r = 30o (alternate ∠s b/c PQ//SR)
But = y + q + t = 180o (∠s on a straight line)
50 + q + 30 = 180
q + 80 = 180
q = 180 -80
q = 100o
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