Download - EXAMPLE 1
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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.
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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.
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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.