In the star $A B C D E$ in the following figure, we know that $\measuredangle G B F=20^{\circ}$ and $\measuredangle G H I=130^{\circ}$. What is the value of the angle $\measuredangle J E I$ ?

![](https://cdn.mathpix.com/cropped/2024_05_01_eead07372ad548e635bag-09.jpg?height=363&width=482&top_left_y=1293&top_left_x=797)

## List 10
In triangle $B H E$ we have:

$$
20^{\circ}+130^{\circ}+B \widehat{E} H=180^{\circ} \Rightarrow B \widehat{E} H=30^{\circ}
$$

Note that $J \widehat{E} I=B \widehat{E} H=30^{\circ}$.

## List 10