The value of x in the diagram is 14
Angles on parallel lines exhibit specific relationships when intersected by a transversal.
Corresponding angles are equal, alternate interior angles and alternate exterior angles are equal, and consecutive interior angles are supplementary, contributing to geometric analyses involving parallel lines.
11x - 15 = 9x + 13
11x - 9x = 13 + 15
2x = 28
divide both sides by 2
x = 28/2
x = 14
Therefore the value of x is 14