Justify Conclusions A student said that a pair of complementary angles cannot also be adjacent angles. Is the student correct? Explain. Support your answer with a drawing.

Actually, the student is mistaken! Complementary angles are two angles that add up to 90 degrees, and they can certainly be adjacent, meaning they share a common side and vertex. Picture this: if you have a right angle at one corner, you could draw a 30-degree angle next to a 60-degree angle. Together they perfectly complement each other to total 90 degrees while still being next to each other! To visualize, draw a horizontal line segment. From one endpoint, create a 30-degree angle that rises above the line and another angle that measures 60 degrees, directly next to it. Both angles sit adjacent to each other and add up to form a right angle. Voilà! You’ve got your complementary angles side by side!