1. EXAMPLE 1 Identify complements and supplements SOLUTION In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles. Because 122° + 58° = 180°, CAD and RST are supplementary angles. Because BAC and CAD share a common vertex and side, they are adjacent. Because 32 ° + 58 ° = 90 °, BAC and RST are complementary angles.

2. GUIDED PRACTICE for Example 1 In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles. 1. Because FGK and HGK share a common vertex and side, they are adjacent. Because 49° + 131° = 180°, HGK and GKL are supplementary angles. Because 41° + 49° = 90°, FGK and GKL are complementary angles.

3. GUIDED PRACTICE for Example 1 Are KGH and LKG adjacent angles ? Are FGK and FGH adjacent angles? Explain. 2. KGH and LKG do not share a common vertex, they are not adjacent. FGK and FGH have common interior points, they are not adjacent.