Use the fact that angles around a point sum to 360° to find the missing angle x
Home / 5th grade / Shapes / Angle problems / 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.
Below is a table showing the first 6 question answer pairs for the topic "Angles around a point" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.
The topic "Angles around a point" is in the category Shapes for 5th grade (ages 10 to 11).
Home / 5th grade / Shapes / Angle problems / Angles around a point
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