In the adjoining figure:
(i) Is ∠1 adjacent to ∠2?
(ii) Is ∠AOC adjacent to ∠AOE?
(iii) Do ∠COE and ∠EOD form a linear pair?
(iv) Are ∠BOD and ∠DOA supplementary?
(v) Is ∠1 vertically opposite to ∠4?
(vi) What is the vertically opposite angle of ∠5?
Solution:
We use the basic concepts of geometry such as vertically opposite angles, supplementary angles, linear pairs, etc. to solve the given problem.
(i) Yes, ∠1 is adjacent to ∠2 because they have common vertex O and common arm OC.
(ii) No, ∠AOC is not adjacent to ∠AOE because they have non-common arms on either side of common arms.
(iii) Yes, ∠COE and ∠EOD form linear pairs as they are adjacent angles lying on a straight line.
(iv) Yes, ∠BOD and ∠DOA are supplementary angles as they are adjacent angles lying on a straight line.
(v) Yes, ∠1 is vertically opposite to ∠4 because they are formed due to the intersection of straight lines.
(vi) Vertically opposite angle of ∠5 is ∠2 +∠3 = ∠COB.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 5
Video Solution:
In the adjoining figure: (i) Is ∠1 adjacent to ∠2? (ii) Is ∠AOC adjacent to ∠AOE? (iii) Do ∠COE and ∠EOD form a linear pair? (iv)Are ∠BOD and ∠DOA supplementary? (v)Is ∠1 vertically opposite to ∠4? (vi) What is the vertically opposite angle of ∠5?
NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.1 Question 9
Summary:
In the adjoining figure: (i) Yes, ∠1 is adjacent to ∠2 (ii) No, ∠AOC is not adjacent to ∠AOE (iii) Yes, ∠COE and ∠EOD form a linear pair (iv) Yes, ∠BOD and ∠DOA are supplementary (v) Yes, ∠1 is vertically opposite to ∠4? (vi) ∠COB is the vertically opposite angle of ∠5.
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