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In the diagram above, PQ is parallel to TU, < PQR = 50º, < QRS...

Mathematics
WAEC 2025

In the diagram above, PQ is parallel to TU, < PQR = 50º, < QRS = 86º, and < STU = 64º. Calculate the value of x

  • A. 100°
  • B. 108°
  • C. 120°
  • D. 136°
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Correct Answer: Option A
Explanation

∴ ∠VRS = 94º (angle on a straight line)

∠VTS = 116º (adjacent angle on a straight line)

∠RVT = 50° (corresponding angles)

∴ 94º + 50° + 116° + x = 360° x + 260° = 360°

 x = 100°


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