Question

Help! What is the length XY if the quadrilateral is an isosceles trapezoid? I thought 6 was the answer, but I was wrong.

Answer 1

$If\ WZYX\ is\ a\ isosceles\ trapezoid,\ then\\\\y+6=12\ \ \ |subtract\ 6\ from\ both\ sides\\\\y=6\\\\|XY|=y+1,\ subtitute\\\\\boxed{|XY|=6+1=7}$