Question

In the diagram below of isosceles trapezoid DEFG,DE | GF, DE = 4r-2, EF = 3x + 2, FG = 5x - 3,and GD = 2x+5. Find the value of x.D4x-2E2x + 53x + 2G5x - 3F

Answer 1

Remember that

If DEFG is an isosceles trapezoid

that means

DG=EF

substitute the given values

2x+5=3x+2

solve for x

3x-2x=5-2

x=3