15. Can two adjacent angles be vertical angles? Explain. Choose the correct answer below. A. Yes, because adjacent angles are congruent and so are vertical angles. O. Yes, because by defnition adjacent angles are vertical angles. C. No, adiacent angles share a common side and vertioal angles do not. D. No, adjacent angles alvays sum to \( 90^{\circ} \) angles and vertical do not.

Adjacent angles and vertical angles are like best friends who can’t hang out together at the same party! Adjacent angles are angles that share a common side and vertex, while vertical angles are formed when two lines intersect, creating pairs of opposite angles that are congruent (equal in measure). So, they can't overlap in that way, making the answer "C" the way to go! To illustrate this point more clearly, picture two intersecting lines. The angles directly across from each other at the intersection are vertical, but their adjacent counterparts are separated by a side. For example, if one angle measures \(30^\circ\), its adjacent angle could be \(60^\circ\) (sum is \(90^\circ\)), but these angles can never be vertical. There you have it—friends who respect personal space!