help geometry

 

Since AB is parallel to CF, then angles BAE and DEA are equal    

 

So angle DEA = 38^o   Note that this is one of the angles in triangle DEA  

 

The sum of the interior angles of a triangle is 180^o so the other two angles total 142^o  

 

Since sides AE and DE of triangle DEA are equal, each angle EAD and EDA are equal  

 

So angles EAD and ADE each are equal to 71^o apiece  

 

Angle CDA equals 180^o minus angle ADE, thus 180^o – 71^o  = 109^o   

 

x  =  109^o