The Governor shall, in 1975 and decennially thereafter, or whenever any monument or other boundary mark between this state and an adjoining state has become damaged, displaced or destroyed, appoint an agent authorized to act with a duly appointed agent of such adjoining state to examine any or all of such monuments and boundary marks and restore or repair any that are injured or have been removed; and a reasonable portion of the expense thereof, together with the cost of the services of such agent, when approved by the Governor, shall be paid from the State Treasury. Such agent or his representative may, upon giving reasonable written notice to the owner, enter upon private property for the purpose of surveying, establishing, maintaining or restoring any state boundary mark or monument and shall use care so that no unnecessary damage shall result to such private property, and the state shall pay damages to the owner of any such property, from appropriations made to the Department of Transportation for any damage or injury such agent or his representative causes such owner by such entry and activity.