High School

Explain the concepts of linear pairs, complementary angles, supplementary angles, and vertical angles.

Answer :

Final answer:

Linear pairs are adjacent angles that add up to 180 degrees. Complimentary angles add up to 90 degrees. Supplementary angles add up to 180 degrees. Vertical angles are opposite angles formed when two lines intersect and are congruent.

Explanation:

In mathematics, the concepts of linear pairs, complimentary angles, supplementary angles, and vertical angles are all related to the measurement and relationship of angles.

A linear pair is formed when two adjacent angles add up to 180 degrees. For example, if one angle measures 60 degrees, the other adjacent angle will measure 120 degrees.

Complimentary angles are two angles that add up to 90 degrees. For example, if one angle measures 30 degrees, the other complimentary angle will measure 60 degrees.

Supplementary angles are two angles that add up to 180 degrees. For example, if one angle measures 100 degrees, the other supplementary angle will measure 80 degrees.

Vertical angles are formed when two lines intersect. They are opposite angles and are always congruent. For example, if one angle measures 70 degrees, the vertical angle will also measure 70 degrees.

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