The problem involves finding the values of $x$ and $y$ from a diagram where angles are marked in terms of these variables. Let's break this down using the provided angles.

The angles involved in the diagram sum up to 360° because they form a complete circle. Based on the diagram, we have the following angle expressions:

1. One angle is $x^\circ$.
2. Another angle is $2x^\circ$.
3. A third angle is $y^\circ$.
4. The last angle is $(y + 15)^\circ$.
5. There's also an angle of 60°.

Step 1: Set up the equation

The sum of all these angles should be 360°, so the equation is: $x + 2x + y + (y + 15) + 60 = 360$

Step 2: Simplify the equation

Combine like terms: $3x + 2y + 75 = 360$

Step 3: Solve for one variable

Subtract 75 from both sides: $3x + 2y = 285$

Step 4: Look for a second equation

We need another relationship between $x$ and $y$. Since the diagram likely involves two intersecting lines, the angles across from each other would be equal (vertical angles). This can provide us with another equation. Let me know if you need further clarification or if there's additional information in the diagram!

Would you like to proceed with this?