The sum of two vertically opposite angles is $$166^\circ.$$ Find each of the angles.
As we know, the vertically opposite angles are equal.
Let $$y$$ be the angle.
As the sum of angles is given as $$166^\circ,$$
$$y+y=166^o$$
$$\Rightarrow 2y=166^\circ$$
$$\Rightarrow y=\dfrac{166^\circ}{2}$$
$$\Rightarrow y=83^\circ$$
Therefore, both angles are of $$83^\circ.$$