13. Be Precise A student said that the sum of the measures of a pair of adjacent angles must equal \( 180^{\circ} \). Is the student correct? Write an argument that can be used to defend your solution.

While it is true that the sum of the measures of a pair of adjacent angles can equal \( 180^{\circ} \), this is only the case when the angles are supplementary. Adjacent angles may also form other relationships, such as being complementary if they add up to \( 90^{\circ} \). Thus, the student's statement is not universally accurate. A clear argument would involve defining adjacent angles and providing examples of both supplementary and complementary pairs to illustrate the variety of angle relationships. In everyday life, understanding adjacent angles is essential in fields like architecture and interior design, where the arrangement of rooms and furniture relies on angle relationships. For instance, when planning spaces, knowing that a right angle (or \( 90^{\circ} \)) is adjacent to other angles can help ensure a functional and visually pleasing layout, demonstrating the real-world importance of precise angle calculations.