Final answer:
Without context regarding the relationship between the angles (10y + 10) and 5x, we cannot solve for x and y. Additional information such as the angles forming a linear pair or being vertical angles is necessary to set up and solve the equation.
Step-by-step explanation:
The question provided does not give us enough context to determine the relationship between the angles (10y + 10) and 5x. Therefore, we cannot accurately find the values of x and y without additional information such as whether these angles form a linear pair, are vertical angles, or are inside a polygon which would allow us to use known geometric properties to solve for them.
However, it's important to understand that in a common situation where two angles form a linear pair (adjacent and their non-common sides form a straight line), they would add up to 180 degrees. If that's the case here, we would set up the equation (10y + 10) + 5x = 180 to solve for x and y.
If the angles were vertical angles (opposite angles formed by two intersecting lines), they would be equal, and we would set up the equation 10y + 10 = 5x to solve for x and y. Unfortunately, without knowing the relationship between the angles, we cannot proceed further.