Two lines AB and CD intersect at O (Fig. 5.44). Write all the pairs of adjacent angles by taking angles 1, 2, 3, and 4 only
Solution:
Given, AB and CD intersect at O.
We have to write all the pairs of adjacent angles by taking angles 1, 2, 3 and 4 only.
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,
The pair of adjacent angles are
∠1 and ∠4
∠4 and ∠3
∠3 and ∠2
∠2 and ∠1
✦ Try This: Write all pairs of adjacent angles.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 86
Two lines AB and CD intersect at O (Fig. 5.44). Write all the pairs of adjacent angles by taking angles 1, 2, 3, and 4 only
Summary:
Two lines AB and CD intersect at O (Fig. 5.44). All the pairs of adjacent angles by taking angles 1, 2, 3, and 4 only, are ∠1, ∠4; ∠4, ∠3; ∠3, ∠2 and ∠2, ∠1.
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