The commissioner may take into the state highway system any highway, section of highway or appurtenances thereto when said commissioner finds that it is in the best interest of the state to do so, and such highway, section of highway or appurtenances thereto conform to the definitions set out in section 13a-14. Any town may petition the commissioner to take a road of such town into such state system whenever it considers such road as conforming to the definitions set out in section 13a-14. Said commissioner shall act upon the petition within three months after receipt thereof. Any town aggrieved by the action of the commissioner may elect to submit the matter to arbitration in the manner provided in section 13a-17.