In the figure given below, write down
(i) Each linear pair (2 Marks)
(ii) Each pair of vertically opposite angles. (2 Marks)
(i) The two adjacent angles are said to form a linear pair of angles if their non – common arms are two opposite rays. So, we have the following linear pairs:
∠1 and ∠3
∠1 and ∠2
∠4 and ∠3
∠4 and ∠2
∠5 and ∠6
∠5 and ∠7
∠6 and ∠8
∠7 and ∠8
(2 Marks)
(ii) The two angles formed by two intersecting lines having no common arms are called vertically opposite angles. So, we have the following vertically opposite angles:
∠1 and ∠4
∠2 and ∠3
∠5 and ∠8
∠6 and ∠7
(2 Marks)