A linear pair is **a pair of adjacent angles formed when two lines intersect**. In the figure, ∠1 and ∠2 form a linear pair.

Contents

## What are linear angles in geometry?

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other. Adjacent angles are formed when two angles have a common vertex and a common arm but do not overlap. The linear pair of angles are always supplementary as they form on a straight line.

## What is the example of linear pair?

Scissors. A pair of scissors is a classic example of Linear Pair of angles, where the flanks of scissors, which are adjacent to each other and have common vertex O, form an angle of 180 degrees.

## How do you identify a linear pair?

Linear pair: When two lines intersect, they form four angles. When the two of these angles are adjacent to each other, they are called a linear pair. Adjacent angle: Two angles are adjacent if they share a side and has a common vertex.

## What is the linear pair?

A linear pair is a pair of adjacent angles formed when two lines intersect. In the figure, ∠1 and ∠2 form a linear pair.

## How do you draw a linear pair?

Solution

- Draw two angle DCA and DCB forming Linear pair.
- With center C and any radius, draw an arc which intersects AC at P, CD at Q and CB at R.
- With center P and Q and any radius draw two arcs which interest each other at S.
- Join SC.
- With center Q and R any radius draw two arcs, which intersect each other at T.
- Join TC.

## What is not a linear pair?

Supplementary angles are those angles who add up to 180∘. They may or may not form a linear pair. For example the linear pair ∠BOC and ∠COA are supplementary, examples of non-linear pair being supplementary are. Two adjacent angles of a trapezoid as shown below. Opposite angles of a cycliical quadrilateral.

## Is Right angle a linear pair?

A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary. If two congruent angles form a linear pair, the angles are right angles.

## How many linear pairs are there?

Linear pairs always form when lines intersect. Just two intersecting lines creates four linear pairs. Every pair shares a vertex, the point of intersection, and one common side.

## What are linear pairs always?

A linear pair is a pair of angles that share a side and a base. In other words, they are the two angles created along one line when two lines intersect. Linear pairs are always supplementary. GeometryGlossary of Angle Types.