First, since AB and CD are parallel, you can find the value of C, which is a consecutive interior angle of A.
180-78=102
So, angle C is equal to 102°
Second, you can subtract 115 and 102 from 360 to find angle DCE.
360-115-102=143.
Third, add 32 to 143 to see if they add up to 180.
32+143=175
Since CD and EF are not connected by a 180° angle, they are not parallel.
I hope this is correct!