In the diagram, the value of $x$ is
(A) 40
(B) 50
(C) 60
(D) 70
(E) 80

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-036.jpg?height=309&width=282&top_left_y=393&top_left_x=1323)
Straight angles measure $180^{\circ}$.

Therefore, $y^{\circ}+140^{\circ}=180^{\circ}$, and so $y=180-140=40$.

The three interior angles of any triangle add to $180^{\circ}$.

Thus, $40^{\circ}+80^{\circ}+z^{\circ}=180^{\circ}$, and so $z=180-40-80=60$.

Opposite angles have equal measures.

Since the angle measuring $z^{\circ}$ is opposite the angle measuring $x^{\circ}$, then $x=z=60$.

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-177.jpg?height=323&width=288&top_left_y=779&top_left_x=1512)

ANSWER: (C)