Question

classify the angle pair \\( \angle aef \\) and \\( \angle bea \\).
nonadjacent and neither complementary nor
supplementary
a linear pair
adjacent and neither complementary nor supplementary
adjacent and complementary

Explanation:

Step1: Analyze the position of the angles

$\angle AEF$ and $\angle BEA$ have a common vertex $E$ and a common side $EA$. So they are adjacent angles.

Step2: Check if they are complementary or supplementary

Complementary angles sum to $90^{\circ}$, and supplementary angles sum to $180^{\circ}$. $\angle AEF+\angle BEA=\angle BEF$. Since $\angle BEF$ is a straight - line angle ($180^{\circ}$) only if $B$, $E$, $F$ are collinear in a special way (but we are not given that they form a right - angle or a straight - line in the complementary/supplementary sense here. In fact, from the nature of adjacent angles that are not forming a linear pair (a linear pair sums to $180^{\circ}$ and is adjacent), and not given any right - angle information).

Answer:

Adjacent and neither complementary nor supplementary