In the diagram, three lines intersect at a point. What is the value of $x$ ?
(A) 30
(B) 45
(C) 60
(D) 90
(E) 120

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-021.jpg?height=298&width=268&top_left_y=255&top_left_x=1319)
Since opposite angles are equal, then the three unmarked angles around the central point each has measure $x^{\circ}$.

![](https://cdn.mathpix.com/cropped/2024_04_20_faa9db06d997f2a5b9b1g-035.jpg?height=301&width=271&top_left_y=587&top_left_x=987)

Since the angles around a point add to $360^{\circ}$, then $6 \times x^{\circ}=360^{\circ}$.

From this, $6 x=360$ and so $x=60$.

ANSwer: (C)