Wxyz is an isosceles trapezoid with legs wx and yz and a base xy. if the length of wx is 6x+5, the length of xy is 10x+4 and the length of yz is 8x-3, find the value of x.

x = 4

Explanation:

An isosceles trapezoid has two opposite sides (the bases) parallel, and the two other sides (the legs) are of equal length.

So, since the two legs are of equal length, you only need to use the information of the two legs:

Leg WX: 6x + 5

Leg: YZ: 8x - 3

Leg WX = Leg YZ => 6x + 5 = 8x - 3

6x + 5 = 8x - 3

=> 8x - 6x = 5 + 3

=> 2x = 8

=> x = 8 / 2

=> x = 4