As shown in the figure, in the trapezoidal ABCD, if ad ‖ BC, ∠ B = 72 °, C = 36 °, ad = 6cm, BC = 15cm, then CD=______ cm.

As shown in the figure, in the trapezoidal ABCD, if ad ‖ BC, ∠ B = 72 °, C = 36 °, ad = 6cm, BC = 15cm, then CD=______ cm.

If D is used as de ‖ AB and BC is crossed with E, then ∠ Dec = ∠ B, the quadrilateral abed is parallelogram, ad = be. ∵ ∵ B = 72 ° and ∵ Dec = 72 ° and ∵ ∵ C = 36 ° and ∵ CDE = 180 ° - ∵ C - ∵ Dec = 72 ° and ∵ Dec = ∵ CDE, ∵ CD = CE. ∵ CE = bc-be = BC-AD = 9 and ∵ CD = 9cm