adding a column to the standard relationships report in Contact Reports
As ErikH stated it is always good practice to create a new extension or create a custom folder to override core files 

So In order to add a supplement address in the report you need to add a new column to the report first 

 'civicrm_address' =&gt; array(
    'dao' =&gt; 'CRM_Core_DAO_Address',
      'fields' =&gt; array(
      'supplemental_address_1' =&gt; array(
        'title' =&gt; ts('supplemental address 1'),
        'default' =&gt; TRUE,

      ),
    ),


The above code will add a column to the report and next you need to add address table to the from function 

if ($this-&gt;_params['fields']['supplemental_address_1']){
    $this-&gt;_from .= "
        INNER  JOIN civicrm_address {$this-&gt;_aliases['civicrm_address']}
                     ON (( {$this-&gt;_aliases['civicrm_address']}.contact_id =
                           {$this-&gt;_aliases['civicrm_contact']}.id  OR
                           {$this-&gt;_aliases['civicrm_address']}.contact_id =
                           {$this-&gt;_aliases['civicrm_contact_b']}.id ) AND
                           {$this-&gt;_aliases['civicrm_address']}.is_primary = 1 ) ";

} else if (!empty($this-&gt;_params['country_id_value']) ||
  !empty($this-&gt;_params['state_province_id_value'] )
) {
  $this-&gt;_from .= "
        INNER  JOIN civicrm_address {$this-&gt;_aliases['civicrm_address']}
                     ON (( {$this-&gt;_aliases['civicrm_address']}.contact_id =
                           {$this-&gt;_aliases['civicrm_contact']}.id  OR
                           {$this-&gt;_aliases['civicrm_address']}.contact_id =
                           {$this-&gt;_aliases['civicrm_contact_b']}.id ) AND
                           {$this-&gt;_aliases['civicrm_address']}.is_primary = 1 ) ";
}


By doing the above you can achieve what you wanted

But still you need to add condition to your address table based on the location type or select only primary flag 

I guess this helps !!!