Multiple choice

Two chords AB and CD of a circle with centre O intersect each other at P. If ∠BOC=700 and ∠AOD=1000, then ∠APC is

  1. 950

  2. 700

  3. 650

  4. 550
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For intersecting chords AB and CD, angle APC = 1/2(angle AOC + angle BOD). Given angles at center O: angle BOC = 70°, angle AOD = 100°. Since angles around O sum to 360°, angle AOC + angle BOD = 360° - (70° + 100°) = 190°. Therefore angle APC = 190°/2 = 95°. The answer 950 is correct assuming the degree symbol was omitted.

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