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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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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. - PowerPoint PPT Presentation

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Page 1: EXAMPLE 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.

Page 2: EXAMPLE 1

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.

Page 3: EXAMPLE 1

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.

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