Question

Help which pairs of angles in the figure below are vertical angles

Answer 1

Answer:

Option B and D are  pair of vertical angles.

Step-by-step explanation:

We are given a figure in which we have to find pair of  vertical angles.

Vertical angles :When two lines are intersecting then  each of the pairs of opposite side angles are called vertical angles.

We can see from given figure

$\angle TSW$ is present on opposite side of $\angle ISN$  of intersecting lines .Therefore, they are opposite angles. The opposite angles are called vertical angles.Hence, it is a pair of vertical angles.

$\angle TSN$ is present on opposite side of $\angle ISW$  of two intersecting lines .Therefore, they are opposite angles. The opposite angles are called vertical angles.Therefore, it is a pair of vertical angles.

Therefore, we have two pairs of vertical angles from given figrue.

Hence ,$\angle TSW$ and $\angle ISN$,$\angle TSN$ and $\angle ISW$ are two pairs of vertical angles.

Therefore, option B and D are correct.

But in option C and A the given angles are not present on opposite sides of two intersecting lines .Therefore, they are not vertical angles. Hence, option A and C are false.

Answer 2

Vertical angles means the angles on both opposite sides of a vertex, crossed by straight lines. They are always equal.

In your picture lines TI and NW form those angles the angles are ISN and TSW or TSN and ISW. Everything with K in it is not applicable.