The value of x in the diagram is 25°
Angles on parallel lines exhibit specific relationships.
Corresponding angles are equal, alternate angles are equal, and consecutive interior angles add up to 180 degrees.
The third angle at the down base parallel line is 50° ( alternate angles)
Therefore;
50 + x + 105 = 180° ( angles on a straight line)
x + 155 = 180°
x = 180 - 155
x = 25°
Therefore the value of x is 25°