In Fig. 5.40, OR ⊥ OP. Name all the pairs of adjacent angles
Solution:
Given, OR ⊥ OP.
We have to find all the pairs 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,
The pair of adjacent angles are
∠x and ∠y
∠x+∠y and ∠z
∠y and ∠z
∠x and ∠y+∠z
✦ Try This: If two angles are equal and supplement to each other, then they are
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 80 (i)
In Fig. 5.40, OR ⊥ OP. Name all the pairs of adjacent angles
Summary:
In Fig. 5.40, OR ⊥ OP. All the pairs of adjacent angles are ∠x, ∠y; ∠x+∠y, ∠z; ∠y, ∠z and ∠x, ∠y+∠z
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