Two angles making a linear pair are always adjacent angles. State whether the statement is true or false

Solution:

Given, two angles making a linear pair are always adjacent angles.

We have to determine if the given statement is true or false.

Linear pairs 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°

∠1 + ∠2 = 180°

Adjacent angles are the angles that have a common arm (side) and a common vertex, however, they do not overlap.

A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.

From the properties of adjacent angles, we know that

a. Adjacent angles always share a common arm.

b. They have a non-common arm on both sides of the common arm.

So, two angles making a linear pair are always adjacent angles.

Therefore, the given statement is true.

✦ Try This: An angle is more than 90°. Its supplementary angle must be less than 180°. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 65

Two angles making a linear pair are always adjacent angles. State whether the statement is true or false

Summary:

The given statement,”Two angles making a linear pair are always adjacent angles” is true.

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