In which of the following figures, a and b are forming a pair of adjacent angles
a. 
b. 
c. 
d. 
Solution:
We have to find the figure in which a and b from 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.
Considering figure a,
We observe that a and b have common vertex but no common arm
Therefore, figure a does not represent a pair of adjacent angles.
Considering figure b,
a and b do not have a common vertex or common arm.
Therefore, figure b does not represent a pair of adjacent angles.
Considering figure c,
We observe that a and b overlap
Therefore, figure c does not represent a pair of adjacent angles.
Considering figure d,
a and b have common vertex and common arm
a and b do not overlap
Therefore, figure d represents a pair of adjacent angles.
✦ Try This: In the given figure, write each linear pair.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 28
In which of the following figures, a and b are forming a pair of adjacent angles
Summary:
From the given figures, in figure d the angles a and b form a pair of adjacent angles
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