1) What is the supplement of 119°? 2) What is the complement of 54°? 3) Give an example of a supplementary angle and complementary angle. 4) Name a pair of adjacent angles. 5) Name a pair of linear pair angles.
Answer (1)
To answer the questions, we need to understand the concepts of supplementary and complementary angles:
Supplement of 119°:
Supplementary angles are two angles whose measures add up to 180°. To find the supplement of an angle, subtract the angle from 180°.
So, the supplement of 119° is: 180° − 119° = 61°
Complement of 54°:
Complementary angles are two angles whose measures add up to 90°. To find the complement of an angle, subtract the angle from 90°.
So, the complement of 54° is: 90° − 54° = 36°
Example of a Supplementary and Complementary Angle:
An example of a pair of supplementary angles could be 130° and 50° because they add up to 180°.
An example of a pair of complementary angles could be 30° and 60° because they add up to 90°.
Pair of Adjacent Angles:
Adjacent angles are two angles that have a common side and a common vertex (corner point) and don't overlap.
An example could be two angles that form a “L” shape on a straight line, like angle ABC and angle CBD in a straight line, where B is the common vertex.
Pair of Linear Pair Angles:
A linear pair is a pair of adjacent angles formed when two lines intersect. The sum of the angles in a linear pair is always 180°.
For instance, if two lines intersect, and angle A and angle B are on the same side of a line forming a straight path, then that pair is a linear pair, such as when one angle is 120° and the other is 60°.
