The diagram provided involves angles and requires expressing $y$ in terms of $x$.

From the diagram:

1. $y$ is the entire angle at the center.
2. $2x$ is part of that angle.

Key Concept

The angle $y$ is made up of $2x$, and therefore they are directly related.

Solution

By the geometric relation given, $y$ is exactly twice $2x$: $y = 2x$

So the answer is: $y = 2x$

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5 Related Questions:

1. What is the relationship between the angles of a circle at its center?
2. Can we generalize this for any central angle and its components?
3. If $x = 30^\circ$, what is $y$?
4. How would this change if the angle labeled $2x$ was given in terms of another variable?
5. What is the sum of angles at the center of a circle?

Tip:

When working with diagrams involving angles at a circle's center, remember that the total angle at a point is $360^\circ$, and individual parts can be expressed as proportions of each other.