Question 34
Circle $\omega_2$ is tangent to circle $\omega_1$ at point $A$ and passes through its center $O$. Point $C$ is chosen on $\omega_2$ in such a way that the ray $AC$ intersects $\omega_1$ the second time at point $D$, the ray $OC$ intersects $\omega_1$ at point $E$ and the line $DE$ is parallel to the line $AO$. Find the size of the angle $DAE$.