Question

Which pair of angles are vertical angles?

∠RQT and ∠TQV

∠RQW and ∠WQV

∠RQS and ∠SQU

∠RQW and ∠TQU

Answer 1

Answer: Last option is correct.

Explanation:

Since we know that

Vertical angles are those angles which are opposite to each other when two non-adjacent lines cross each other at one point. .i.e. if two lines are intersecting at a unique point.

So, ∠RQW and ∠TQU are the only pairs of vertical angles, as they have no common pair of sides except one point i.e.'Q' at which both the lines are intersecting.

So, Last option is correct.

Answer 2

∠RQW and ∠TQU

Explanation:

We have to select the pair of angles which are vertical angles.

Vertical angles are angles made by two intersecting lines and are on the opposite sides when two lines cross.

In all first three options: ∠RQT and ∠TQV

∠RQW and ∠WQV

∠RQS and ∠SQU

There are two common points in each of three options which are not possible in the case of vertical angles. This is the case of linear pair.

Hence, the only option which possible is last option i.e ∠RQW and ∠TQU which are the pair of vertical angles.