Mathematics for IGCSE & O level - Circle Theorems (Section 2 - No. 7)
In a circle with center O, chords AB and CD intersect at point E inside the circle. Which of the following are true statements regarding the angles formed?
Angle AEC = 1/2(arc AC + arc BD)
Angle AEC = 1/2(arc AC - arc BD)
Angle AED = Angle BEC
Angle AEB = Angle CED
Explanation
The first and the last two options are correct, but the second option is wrong.
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