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Write the angle relationship for each pair of angles:

a) Supplementary

b) Complementary

c) Vertical Angles

d) Corresponding Angles

Answer :

Final answer:

Supplementary angles relationships add up to 180 degrees. Complementary angles add up to 90 degrees. Vertical angles are opposite angles and congruent. Corresponding angles are congruent and in the same relative position.

Explanation:

a) Supplementary angles are two angles that add up to 180 degrees. For example, if one angle measures 90 degrees, then its supplementary angle would measure 90 degrees as well.

b) Complementary angles are two angles that add up to 90 degrees. For example, if one angle measures 45 degrees, then its complementary angle would measure 45 degrees as well.

c) Vertical angles are opposite angles formed by intersecting lines. They are congruent. For example, if one angle measures 50 degrees, then its vertical angle would also measure 50 degrees.

d) Corresponding angles are a pair of angles that are in the same relative position when two lines are crossed by a transversal. They are congruent. For example, if one angle measures 60 degrees, then its corresponding angle would also measure 60 degrees.

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