In the figure, name a pair of complementary angles, a pair   of supplementary angles, and     a pair...
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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.

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EXAMPLE 1

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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°, 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


Example 1

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


Example 1

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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