Calculate the value of x

Find the value of $x$.

This question includes visual content: The image shows a geometric construction consisting of two connected triangles. On the left is a right-angled triangle with a $50^{\circ}$ angle at the top vertex. A line segment originates from this $50^{\circ}$ vertex, crosses the interior of the shape, and terminates at a vertex of the triangle on the right. The triangle on the right has an upper angle of $30^{\circ}$ and a base angle of $70^{\circ}$. The angle $x^{\circ}$ is formed at the intersection of these two structures. There is also a right-angle symbol at the bottom-left vertex of the entire figure.