Draw a line segment and divide it in the ratio 2:5. Verify by measurement.

As shown in the figure 
1) Take a line segment OG and taking any arc length draw a curve intersecting OG at Q
2) From Q with same arc length draw a curve intersecting the previous curve at P. Join OP and extend it
3) Taking P as centre and OP as arc length draw another curve intersecting OP at R. Similarly do for S, T , U , V , X
4) Join X to G and now draw lines parallel to XG from V , U, T, S, R , P intersecting OG at F , E, D, C, B , A  respectively.
Thus our line is divided into seven segments Now OB:BG = 2:5

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