Question

it's a rider from 10 STD
please solve fast ,it's urgent

Answer 1

In ΔMNQ and ΔORS
Angle ORS = Angle POQ (Vertically opposite)
ANgle POQ = Angle MNQ (Corresponding angles)
Angle RSO = ANgle NQM (ALternate interior angles)
ΔMNQ and ΔORS are similar.
OR/NM=MQ/RS (Basic proportionality theorem)
OR*MQ=RS*NM
Hence proved...