In Fig. 5.4, are the angles 1 and 2 of the letter N forming a pair of adjacent angles? Give reasons

Solution:

Given, the figure represents letter N with angles 1 and 2.

We have to determine if the angles 1 and 2 form a pair of adjacent angles.

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.

From the figure,

We observe that the angles 1 and 2 do not have a common vertex

Therefore, angles 1 and 2 are not a pair of adjacent angles.

✦ Try This: Prove that if the sum of two adjacent angles is 180 degrees, then the non-common arms are two opposite rays

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

NCERT Exemplar Class 7 Maths Chapter 5 Sample Problem 13

In Fig. 5.4, are the angles 1 and 2 of the letter N forming a pair of adjacent angles? Give reasons

Summary:

The angles 1 and 2 of the letter N do not form a pair of adjacent angles.

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