Question

In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.

Answer 1

Vertically opposite angles are the angles, opposite to each other when two lines cross, A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.

Following are vertically opposite angles and linear pair in the above figure:

Figure	Vertically opposite angles	Linear pair
	∠ROQ, ∠POS; ∠ROP, ∠QOS	∠ROP, ∠POS; ∠ROT, ∠TOS; ∠QOS, ∠SOP; ∠QOT, ∠TOP; ∠ROQ, ∠QOS; ∠ROQ, ∠ROP