What is the linear pair theorem example?

The Linear Pair Theorem states that two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees. Clearly, the angles ∠PQS and ∠RQS form a linear pair. By the Angle Addition Postulate, m∠PQS+m∠RQS=m∠PQR. However, ∠PQR is a straight angle, so m∠PQR=180∘.

How are lines and angles used in everyday life?

straight lines are in classrooms on the floor, door, window, zebra crossing on road side. whereas angles are used in building constructions, inter connected with subjects like physics chemistry etc. Types of angles are used in yoga position, games fields and so on.

What is a linear pair Theorem?

Linear Pair Theorem If two angles form a linear pair, then they are supplementary. Theorem If two congruent angles are supplementary, then each is a right angle.

Are there any real life examples of linear pair?

Non-common side must make a straight line or sum of angles must be 180 degrees. We all might have thought that the Linear Pair have no existence in real life. It’s just a theoretical work. But, there are plenty of examples in our daily life, which suggests the involvement of Linear Pair of angles.

Which is an example of a given linear pair theorem?

Linear Pair Theorem: Example: Given Linear Pair Theorem Name: _________________________________________________ Linear Pair Theorem Linear Pair Theorem: If two angles are a linear pair (consecutive angles with a shared wall that create a straight line), then their measures will add to equal 180° Example: Given: Prove: �∠���+�∠���=180°

How to solve a problem using a linear pair?

You may encounter problems that ask you to solve for the missing angle using a linear pair. As we have discussed, a linear pair adds up to equal 180 degrees. If you know the measure of one of the two angles, then you can subtract that measure from 180 degrees to get the measure of the other angle.

When are the angles in a linear pair always linear?

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 which have a common vertex.