Question

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Answer 1

Its very easy question.
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Step by step explanation.
Construction: Suppose the mid point of M and N be P
Draw AP and CP
similarly, BP and NP.
In triangle APM and triangle CPN
angle AMN = angle CNM
[ANGLE ON THE SEGMENT ARE EQUAL]
similarly
In triangle BPM and triangle DPN
angle BMN = angle DNM.
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Answer 2

M and N are mid points of equal cords hence OM and ON are perpendicular to AB and CD. So

<AMN =<CNM (both equal to 90°)

Similarly

<BMN=<DNM

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