In the diagram, the value of $x$ is
(A) 130
(B) 120
(C) 110
(D) 100
(E) 80

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-128.jpg?height=355&width=368&top_left_y=1489&top_left_x=1388)
In $\triangle A B C$,

$$
\begin{array}{r}
\angle A C B+40^{\circ}+60^{\circ}=180^{\circ} \\
\angle A C B=80^{\circ}
\end{array}
$$

Since $B C$ is parallel to $D E, \angle A E D=\angle A C B=80^{\circ}$.

So

$$
\begin{aligned}
x^{\circ} & =180^{\circ}-\angle A E D=100^{\circ} \\
x & =100
\end{aligned}
$$

![](https://cdn.mathpix.com/cropped/2024_04_20_688a3b42f69739f2e244g-230.jpg?height=418&width=434&top_left_y=1775&top_left_x=1298)

ANSWER: (D)