Question

3. AB and CD are two equal chords of a circle with centre O.M
and N are the midpoints of AB and CD respectively. If
angleMON = 100°, find angleAMN.​

Answer 1

Answer:

THE ANSWER IS 50°

Step-by-step explanation:

We have,

DC = AB

Therefore they are equidistant From the center,

So, ON = OM

THEN , Triangle ONM is isosceles

so, angle ONM = angle OMN = 40°

AND, since N and M are mid point

therefore, angle OM Perpendicular to AB

so, angle OMB = 90°

Also we knew,

angle OMB + angle OMN + angle AMN= 180°

or, 90° +40° + angle AMN = 180°

therefore, angle AMN = 50°

HOPE IT HELPS,