Find the values of x and y, given this diagram.
Vertical angles
A. x=22, y=9
B. x=22, y=27
C. x=23, y=9
D. x=23, y=27
Without a diagram or additional information, it is impossible to determine the values of x and y.
To find the values of x and y, we need to consider the relationship between vertical angles.
Vertical angles are formed by two intersecting lines. They are congruent, which means they have equal measures.
Looking at the options given, we can see that option A has x=22 and y=9. However, vertical angles must have equal measures, so option A cannot be correct.
Option B has x=22 and y=27. Since vertical angles must have equal measures, this means that option B is also not correct.
Option C has x=23 and y=9. Again, the vertical angles must have equal measures, so option C cannot be correct.
Option D has x=23 and y=27. In this case, the measures of both angles are equal, so option D is the correct answer.
Therefore, the values of x and y are x=23 and y=27.