Two adjacent angles always form a linear pair. State whether the statement is true or false
Solution:
Given, two adjacent angles always form a linear pair.
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 adjacent angles do not form a linear pair.
Therefore, the given statement is false.
✦ Try This: A linear pair may have two obtuse angles. 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 71
Two adjacent angles always form a linear pair. State whether the statement is true or false
Summary:
The given statement,”Two adjacent angles always form a linear pair” is false
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