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

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.

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lublana lublana · Answer 2 · 2019-07-18T09:19:01+02:00

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

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

[tex]\angle TSN[/tex] is present on opposite side of [tex] \angle ISW[/tex] 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 ,[tex]\angle TSW[/tex] and [tex]\angle ISN[/tex],[tex]\angle TSN[/tex] and [tex]\angle ISW[/tex] 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.