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EXAMPLE 1

In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles. Because 32 ° + 58 ° = 90 ° , BAC and RST are complementary angles. Because 122° + 58° = 180° , CAD and RST are supplementary angles.

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EXAMPLE 1

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  1. In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles. Because 32°+ 58° = 90°, BACand RSTare complementary angles. Because 122° + 58° = 180°,CADand RSTare supplementary angles. Because BACand CADshare a common vertex and side, theyare adjacent. EXAMPLE 1 Identify complements and supplements SOLUTION

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

  3. Are KGHand LKGadjacent angles ? Are FGKand FGHadjacent 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. for Example 1 GUIDED PRACTICE

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