I use topology checker and add a rule that polylines must not have dangles. It find errors for all 36 polylines but I think some topologies are correct at the right side. Can you help me how can I fix this. Because I tried same rule in ArcGIS and results seems better. Pictures are below.
ArcMap and QGIS may be using different snapping tolerances. It's worth checking what each value is.
ArcMap - Geoprocessing - > Environments... -> XY Resolution and Tolerance will show you the current resolution and tolerance values. http://resources.arcgis.com/EN/HELP/MAIN/10.1/index.html#//001w0000000r000000
QGIS - Settings -> Snapping Options... will show you the tolerance for each layer. http://docs.qgis.org/2.8/en/docs/user_manual/working_with_vector/editing_geometry_attributes.html?highlight=tolerance