Please help me with a geometry task

Question

You have a slice of pizza with a central angle that measures 140° that you want to share with your friend. She cuts it through the vertex into two slices. You choose one slice that measures 60°

How would you draw this image?

Answer 1

To draw this image, you can follow these steps:

1. Draw a circle to represent the entire pizza.
2. Choose a point in the circle to be the center. This will be the vertex of all the slices.
3. Draw two radii from the center of the circle to its edge, making a 140° angle between them. This area represents your 140° pizza slice.
4. To split this slice into two parts, draw another radius line from the center to the edge of the circle such that it divides the 140° slice into two angles: one of 60° and the other of 80° (because 140° - 60° = 80°).

Now you have two slices, one that measures 60° (your slice) and another that measures 80° (your friend's slice), both originating from the original 140° slice of pizza.