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In the Adjoining Figure:Is Angle1 Adjacent to Angle2? and is Angleaoc Adjacent to Angleaoe? and Do Anglecoe and Angleeod Form a Linear Pair?What is the Vertically Opposite Angle of ∠5? - Mathematics

In the adjoining figure:

(1) Is ∠1 adjacent to ∠2?

(2) Is ∠AOC adjacent to ∠AOE?

(3) Do ∠COE and ∠EOD form a linear pair?

(4) Are ∠BOD and ∠DOA supplementary?

(5) Is ∠1 vertically opposite to ∠4?

(6) What is the vertically opposite angle of ∠5?

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Solution

1) Yes. Since they have a common vertex O and also a common arm OC. Also, their non-common arms, OA and OE, are on either side of the common arm.

2) No. They have a common vertex O and also a common arm OA. However, their non-common arms, OC and OE, are on the same side of the common arm. Therefore, these are not adjacent to each other.

3) Yes. Since they have a common vertex O and a common arm OE. Also, their non-common arms, OC and OD, are opposite rays.

4) Yes. Since ∠BOD and ∠DOA have a common vertex O and their non-common arms are opposite to each other.

5) Yes. Since these are formed due to the intersection of two straight lines (AB and CD).

6) ∠COB is the vertically opposite angle of ∠5 as these are formed due to the intersection of two straight lines, AB and CD.

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 7 Maths
Chapter 5 Lines and Angles
Exercise 5.1 | Q 9 | Page 102
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