Problem 7.4. The figure shows 5 lines intersecting at one point. One of the resulting angles is $34^{\circ}$. How many degrees is the sum of the four angles shaded in gray?

![](https://cdn.mathpix.com/cropped/2024_05_06_4d36ea080cd7b65cb574g-4.jpg?height=504&width=515&top_left_y=91&top_left_x=469)