Hi welcome to math antics. We're continuing our series on geometry and today we're going to learn about angles. In our last video, we learned about points and lines and that's good because we're going to need lines to make angles. So let's start with a couple of lines that are in the same plane. We're only going to be dealing with two-dimensional geometry in this video. These lines are conveniently called line AB and line CD. Now, the important thing to notice about these two lines is that they're pointing in exactly the same direction. So even if we extend them forever, they would never cross or even get closer together. When two lines are arranged like this, we call them parallel. You've probably heard the term parallel before, like parallel parking or a parallel universe or parallel bars. Okay, so parallel lines are lines that will never cross, even if they go on forever. But what if I take one of our lines and give it a little nudge? Now the lines aren't parallel anymore. In fact, they cross at this point right here. Let's name it point P. When lines cross at a point like this, we say that they intersect and we call the point an intersection. And when lines intersect, they form angles. You can think of the angles as the spaces or shapes that are formed between the intersecting lines. These intersecting lines form four angles: one, two, three, four. But instead of calling them angle one, two, three, and four, in geometry, we name them by the points used to make them. For example, this angle here can be called angle DPB because if you trace along those points, like connect the dots, they outline that angle. And this angle here we can call...