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The width of the white and black stripes together is 1/5 of the length, the ratio of the white and black stripes is 1:4:1 (see [1]). This means:

• The angle between the stripes and the horizontal lines is

${\displaystyle \arctan {\frac {15+{\sqrt {33}}}{24}}\ \approx \ 40.838718^{\circ }}$

• The distance between the top left corner of the flag and the top left corner of the black stripe is

${\displaystyle w\cdot (3{\sqrt {33}}-5)/{240}\ \approx \ 0.0509737\,w,}$

where ${\displaystyle w=}$ width of the flag. All other dimensions can easily be derived from this.