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If two equal chords of a circle interse...

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the center makes equal angles with the chords.

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To prove that the line joining the point of intersection of two equal chords to the center of the circle makes equal angles with the chords, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Circle and Chords**: - Let \( O \) be the center of the circle. - Draw two equal chords \( AB \) and \( CD \) such that they intersect at point \( X \) inside the circle. ...
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