 Hi and how are you all today? My name is Priyanka. The question says recall that two circles are congruent if they have the same radii. So that means congruent circles have the same radii. Now here we need to prove that equal chord of congruent circle subtend equal angle at their center. So let us start with our solution. Here we are given that circles with let us have the diagram also. Circle with center are congruent. So therefore their radii are equal to each other. That means OA is equal to OB is equal to CN is equal to ND also. Here in the question we are given that they are equal, they are having equal chords also. So that means AB equal to CD also. So what we need to prove is, we need to prove that the angles subtended by them at the center are equal that is angle AOB is equal to angle. Let us start with our proof AOB and triangle. We have CD. It's given to us in the question that they are equal chords of these congruent triangles also to CM. This is also given to us as two congruent triangles have equal or same radii. Similarly OB is equal to MD. So by SSS condition we can say that therefore triangle AOB is congruent to triangle CMD by SS congruency rule. So we can say that therefore angle AOB is equal to angle by CPCT that is congruent parts of congruent triangles are equal to each other. So we can say that these are equal and this was the thing that was needed to be proved over here. So hence we have proved the given question. Hope you enjoyed doing this question and remember all the rules of congruency. Take care and bye for now.