Angles around a point
for 5th grade

Calculate angles around a point

When we talk about angles around a point, we are referring to the angles that are formed when two or more lines meet at a single point, which we call the vertex.

For example, if you draw four straight lines that meet at a single point, you will create four angles around that point. These angles are called "angles around a point" because they all share the same vertex, or point of intersection.

The important thing to know about angles around a point is that their sum is always 360 degrees. That means if you add up all of the angles around a point, you will always get 360 degrees. To see why this is true, imagine drawing a circle around the point where the lines meet. The circle will have a circumference of 360 degrees. Since the sum of all the arcs around a circle is 360 degrees, the sum of all the angles around a point must also be 360 degrees.

In this topic you are given diagrams of straight lines meeting at a vertex. All the angles are marked except a certain angle x which is not given a value. In each instance you are required to calculate angle x from the other information in the diagram.