30 points :) please answer this question for me pleaseee its for homework please answer it and dont just put a random answer ):

Ineed asap.i cant understand this question i need someone to me right away

Find cot x if sin x cot x csc x = √2

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.