## Task 2 - 040622

When two lines intersect, the angles $\alpha, \beta, \gamma, \delta$ are formed (see figure).

How large are these angles if the first three of them have a sum of $234^{\circ}$?

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-0168.jpg?height=263&width=417&top_left_y=682&top_left_x=1345)
For the full angle, $\delta=126^{\circ}$. Using the relationships of vertical and supplementary angles, it follows that $\alpha=54^{\circ}, \beta=126^{\circ}, \gamma=54^{\circ}$.