Question

are the angles subtended by a chord at any two points of a circle on either side of chord equal? ​

Answer 1

The angles subtended by a chord at any two points of a circle on either side of a chord will be equal as it is a characteristic property of circles.

This is a characteristic property of circles which is proved in the form of a theorem which is known as Thales theorem. This theorem is of great use in planar geometry and in solving questions related to circles and their chords.