Vertical angles are really interesting in geometry!

When two lines cross each other, they form four angles. The angles that are opposite each other are known as vertical angles.

The awesome thing about vertical angles is that they are always the same size. For example, if one angle is $50^\circ$, then the angle across from it is also $50^\circ$.

Let’s look at how vertical angles connect to other types of angles:

• Adjacent Angles: These angles share a side. They aren’t equal, but if you add them to their vertical angles, they add up to $180^\circ$. We call them supplementary angles.

• Complementary Angles: These angles add up to $90^\circ$, but they don’t really have a direct link to vertical angles.

• Supplementary Angles: As mentioned earlier, these angles total $180^\circ$. So, if a vertical angle is $50^\circ$, then the angle next to it would need to be $130^\circ$ to make the total $180^\circ$.

So, understanding vertical angles is really helpful for figuring out other angle relationships in geometry!