Question

M and n are the mid point of two equal chords Ab and CD respectively of a circle with center o prove that angle amn = angle cnm

Answer 1

Step-by-step explanation:

Solution :

OM = ON ( As AB = CD )

In ∆ OMN........

OM. = ON so...

Angle OMN. = Angle ONM

because Opposite side are equal so opposite angle are equal

Angle M. = 90°

Angle M. = Angle N. = 90°

Angle M - angle OMN = Angle N - Angel ONM

Angle AMN. = Angle CNM

Thank you