To find the value of \(\( x \)\) 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 \(\( x \)\) are vertically opposite angles. Therefore, they are equal:
\(x = 52\)
Thus, the value of \(\( x \)\) is 52°.
