Sections 27:17-15 to 27:17-17 of this title shall apply to the repair of all roads, branch or connecting roads, constructed or to be constructed, or in course of construction, under the act entitled “An act to authorize the board of chosen freeholders of any of the several counties of this state to lay out, open, construct, improve and maintain a public road therein,” approved April seventh, one thousand eight hundred and eighty-eight (L.1888, c. 274, p. 397), or any act supplementary thereto or amendatory thereof, and all roads constructed or to be constructed as extensions to such roads, branch or connecting roads, where by law such extension road is to be constructed under the terms of the act aforesaid, or acts supplementary thereto or amendatory thereof.