true or false The measure of each angle of the angle of the linear pair must be 90°
Answers
Answer:
True
Answer:
False, The measure of each angle of the linear pair must be 180°.
Step-by-step explanation:
Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles. The adjacent angles are the angles that have a common vertex. Hence, here as well the linear angles have a common vertex. Also, there will be a common arm that represents both angles. A real-life example of a linear pair is a ladder that is placed against a wall and forms linear angles at the ground.
Linearity represents a straight one. So here also, linear angles are the one which is formed into a straight line. The pair of adjacent angles here are constructed on a line segment, but not all adjacent angles are linear. Hence, we can also say, that linear pair of angles is the adjacent angles whose non-common arms are opposite rays.
The explanation for Linear Pair of Angles
When the angle between the two lines is 180°, they form a straight angle. A straight angle is just another way to represent a straight line. A straight line can be visualized as a circle with an infinite radius. A line segment is any portion of a line that has two endpoints. Also, a portion of any line with only one endpoint is called a ray. A line segment with A and B as two endpoints is represented as
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