EXAMPLE 1 Identify complements and supplements SOLUTION In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair.

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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.

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. FGK and GKL, HGK and GKL, FGK and HGK ANSWER

GUIDED PRACTICE for Example 1 Are KGH and LKG adjacent angles ? Are FGK and FGH adjacent angles? Explain. 2. No, they do not share a common vertex. No, they have common interior points. ANSWER