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To decompose the figure into simple shapes, we can break it down into a rectangle and two right triangles.
The dimensions of the rectangle are 15 cm by 85 cm, giving us an area of 15 cm x 85 cm = 1275 square cm.
The dimensions of each right triangle are 15 cm (base) by 30 cm (height), giving us an area of 0.5 x 15 cm x 30 cm = 225 square cm for each triangle.
Therefore, the total area of the non-shaded part of one pair of wings is 2 x (1275 + 225) = 3000 square cm = 0.3 square meters.
So, you will need 0.3 square meters of shiny nylon to cover the non-shaded area of one pair of wings.