Question

Diffused reflection takes place on rough surfaces why

Answer 1

HERE IS YOUR ANSWER

Rough surfaces have several grooves in them its not smooth so consider 2 rays of light striking with same angle on the surface
both rays strike different particles of the surface and get refected with different angles thus diffused reflection takes place.

Answer 2

light passes through a straight line

light can not be bent

so when light reflects on a rough surface light bounces of into different directions.