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In the diagram above, AB||CD. What is the size of the angle marked x?

Mathematics
WAEC 2025

In the diagram above, AB||CD. What is the size of the angle marked x?

  • A. 93°
  • B. 77°
  • C. 103°
  • D. 62°
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Correct Answer: Option A
Explanation

If P and E are points on CD and AB, respectively

∠ CPE = 52° (corresponding angles are equal)

∴ ∠ TPD = 52° (vertically opposite angles are equal)

∴ 52° + x° + 35° = 180° (sum of angles in a triangle)

∴ x° + 87° = 180°

 x = 93°


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