What angle makes a star?

Answered by Frank Schwing

The angle that makes a perfect star is 144 degrees. This is an interesting angle because it is not a commonly used measurement in everyday life. If you were to draw a star, you would need to turn a certain number of degrees at each point in order to create the shape. Surprisingly, that angle is 144 degrees.

To understand why 144 degrees makes a star, let’s take a closer look at the geometry behind it. A star is made up of several points, and at each point, you need to make a turn to create the shape. The total number of degrees turned to complete the star is always a multiple of 360 degrees, which is a full rotation.

When you divide 360 degrees by the number of points in the star, you get the angle at each point. In the case of a five-pointed star, the angle is 360 degrees divided by 5, which equals 72 degrees. This means that at each point of the star, you need to turn 72 degrees to create the shape.

Now, let’s explore how 72 degrees is related to 144 degrees, the angle that makes a star. If we take a closer look, we can see that turning 72 degrees twice will give us 144 degrees. This means that at each point of the star, we need to make a 72 degree turn, and then another 72 degree turn to complete the angle of 144 degrees.

It’s fascinating to see how these angles come together to form the shape of a star. The symmetry and balance of the star are created by these precise turns at each point. It’s also interesting to note that the angle of 144 degrees is a multiple of 72 degrees, and both angles play a role in creating different shapes.

In addition to making a star, 72 degree turns also have another interesting property. When you make a 72 degree turn, you create a pentagon, another geometric shape with its own unique properties. This connection between stars and pentagons adds another layer of complexity and beauty to the world of geometry.

The angle that makes a perfect star is 144 degrees. This angle is formed by making two 72 degree turns at each point of the star. It’s fascinating to see how geometry and mathematics come together to create beautiful shapes in the world around us.