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AB and CD are equal chords of a circle with centre O. If ∠AOB = 72°, find ∠OCD.

Competition practiceGeometry
  • A54°
  • B72°
  • C36°
  • D108°

Step-by-Step Solution

Equal chords subtend equal angles at the centre, so ∠°. Triangle is isosceles , so .
Answer: A) 54°

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