Understanding the Linear Pair Theorem | Explained with Examples and Applications

Linear Pair Theorem

The Linear Pair Theorem is a geometric concept that pertains to pairs of adjacent angles formed when two lines intersect

The Linear Pair Theorem is a geometric concept that pertains to pairs of adjacent angles formed when two lines intersect.

According to the theorem, if two angles are adjacent (which means they share a common vertex and a common side) and their non-common sides form a straight line (hence the term “linear”), then the sum of the measures of these two angles will always be equal to 180 degrees.

In other words, if angles A and B are adjacent and form a straight line, then the sum of their measures, denoted as ∠A + ∠B, will be equal to 180°.

This theorem can be visually represented as follows:

∠A + ∠B = 180°

It is important to note that the Linear Pair Theorem only applies to pairs of adjacent angles formed by intersecting lines. The angles must be adjacent and share a common vertex, and their non-common sides must form a straight line.

The theorem is a fundamental concept in geometry and often used to solve problems involving angle measurements or angle relationships formed by intersecting lines, such as finding the missing angle measure in a diagram.

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