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Given Data:

AB = 3.8 cm

BC = 3.4 cm

CD = 4.5 cm

AD = 5 cm

∠B = 80°

The steps of construction to construct the quadrilateral ABCD are as follows:

First we draw a line segment of length 3.8 cm and name it ‘AB’.

Then with the point B as center we make a mark at 80° with respect to the horizontal AB and draw a line BX passing through the mark we made.

Now from point B we measure a length of 3.4 cm along the line segment BX and mark the point as C.

Now with A as the center and a radius of 5 cm we draw an arc.

Now with C as the center and radius equal to 4.5 cm, we draw another arc, cutting the previous arc and we name this point as D.

Now we join the line segments AD and CD respectively.

Thus the quadrilateral ABCD is obtained.

The figure obtained after we finish construction is as follows: