The measure of DE is 10 from the given figure
Since the given trapezoid is an isosceles trapezoid, this shows that two of the sides will be equal. According to the given diagram, we can say that:
Given the following parameters
DG = 2x + 5
EF = 3x + 2
2x + 5 = 3x + 2
Collect the like terms
2x - 3x = 2 - 5
-x = -3
x = 3
Get the measure of DE
DE = 4x - 2
DE = 4(3) - 2
DE = 12 - 2
DE = 10
Hence the measure of DE is 10 from the given figure
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