To find the value of [tex]\( x \)[/tex] in the given diagram, we can use the properties of vertically opposite angles and the sum of angles in a triangle.
Here’s the step-by-step solution:
1. Notice that the 52° angle and the angle labeled [tex]\( x \)[/tex] are vertically opposite angles. Therefore, they are equal:
[tex]x = 52[/tex]
Thus, the value of [tex]\( x \)[/tex] is 52°.