Final answer:
To find the measure of each side of the quadrilateral, we can use the fact that the midpoints of a quadrilateral segment divide the segment into two equal parts.
Step-by-step explanation:
To find the measure of each side of the quadrilateral, we can use the fact that the midpoints of a quadrilateral segment divide the segment into two equal parts. So, if f, g, and h are the midpoints of the sides of ajkl, then each side of the quadrilateral can be found by multiplying the corresponding distance between the midpoints by 2.
In this case, since fg = 37, kl = 48, and gh = 30, we can find the length of each side as follows:
AB = 2 * fg = 2 * 37 = 74
BC = 2 * kl = 2 * 48 = 96
CD = 2 * gh = 2 * 30 = 60
DA = 2 * hj = 2 * 37 = 74
Therefore, the measure of each side of the quadrilateral is AB = 74, BC = 96, CD = 60, and DA = 74.