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Circle Tricks

See the animation showing angles of the same side above and below a line.

The angle is 34.58 in the above animation. For 123.6, we get the animation as follows.

Let's dive into one more example together. Get ready to observe the following animations. What do you notice as they play?

When we took 50.58° above the line and 129.42° below the line, we get a full circle. Why is this so? Now, here's a new challenge for you: If we take 30° above the line, what angle should we choose below to complete the circle? Put on your thinking caps and let's explore the beauty of angles together!