Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection

Prove that the line of centres of two interesting circles subtends equal angles at the two points of intersection.

Equal chords of a circle subtend equal angles at the centre.

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

Prove that if chords of congruent circles subtend equal angles at their centres,then the chords are equal.

How many lines of symmetry are there in two intersecting circles?

Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.

Equal chord of circle subtends equal angle on centre.

Prove that equal chords of a circle subtend equal angles at the centre.

Recall that two circles are congruent if they have the same radil.Prove that equal chords of congruent circles subtend equal angles at their centres.

Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.