Ex.5.1 Q9 Lines and Angles - NCERT Maths Class 7

 In the adjoining figure:

(i) Is \(\angle 1\) adjacent to \(\angle 2\) \(?\)

(ii) Is \(\angle AOC\) adjacent to \(\angle AOE \,?\)

(iii) Do \(\angle COE\) and \(\angle EOD\) form a linear pair?

(iv) Are \(\angle BOD\) and \(\angle DOA \)supplementary?

(v) Is \(\angle 1\) vertically opposite to \(\angle 4\,?\)

(vi) What is the vertically opposite angle of \(\angle 5\,?\)

Text Solution

Steps:

(i) Yes, because they have common vertex \(O\) and common arm \(OC.\)

(ii) No, they have non-common arms on either  side of common arms.

(iii) Yes, they form linear pair.

(iv) Yes, they are supplementary.

(v) Yes, they are vertical angles because they are formed due to intersection of straight lines.

(vi) Vertically opposite angle of \(\angle 5\) is \(\angle 2 + \angle 3 \) i.e, \(\angle COB.\)