Multiple choice

Two chords AB and CD of circle whose centre is O meet at the point P and ∠AOC = 500, ∠BOD = 400. Find the value of ∠BPD.

  1. 600

  2. 400

  3. 450

  4. 750
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For intersecting chords AB and CD meeting at P, the angle between the chords is half the sum of the arcs they intercept. Using the given central angles, angle BPD = 1/2 × (angle AOC + angle BOD) = 1/2 × (50° + 40°) = 45°. Options A (60°), B (40°), and D (75°) don't match this calculation.

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