Question

calculate x in the following diagrm

Answer 1

According to the diagram,
X+ 60 +65=180.
X=180-125.
X=55.
In the above answer I had taken x+60+65=180 because the sum of angles in a straight line is 180 and I got 60 from as AB and CE are parallel angle BAC is equal to angle ACE.

Hope it is useful

Answer 2

x=55° in the above picture
as ab||ce. angle bac= to angle eca (alternate interior angles)
so angle eac =60°
BC is a straight line angle =180°
angle BC =angle x+60°+65°
180=60+65+x
x=55°