Question

3. M and N are the mid-points of two equal
chords AB and CD respectively of a circle
with centre O. Prove that:
(i) angle BMN = angle DNM, (ii) angle AMN = angle CNM.
​

Answer 1

o is the centre of the circle

AB and CD are chords

m is the midpoint of AB and N is the midpoint of CD.

when we draw a triangle BMN and triangle DMN,these two triangle bisect at the same point and these triangle become equal.

angle BMN=angle DNM

similarlly,angle AMN=angle CMN