In a circle, what can be said about the angles subtended by equal chords?

When two chords in a circle are equal in length, the angles subtended by these chords at the center of the circle are also equal. This is a result of the properties of circles whereby equal chords create equal arcs, and hence they subtend equal angles at the center.

Furthermore, this principle applies to the angles subtended by these chords at any point on the circumference as well. The inscribed angle theorem states that an angle subtended by an arc at the circumference is half the angle subtended at the center. Therefore, if the chords are equal, the angles they subtend at both the center and the circumference must be equal. This concept is essential in circle geometry and helps in solving various problems involving angles and chords.