Question

Which set of angles are vertical angles?

Answer 1

There are 4 set of vertical angles.

Explanation:

The angles which are opposite by two traversal are called vertical angles.Vertically opposite angles are equal.

From the figure we can see that, a and b are two parallel lines and a traversal is given.

List of vertical angles.

1). < 1 and < 4 [<1 = <4]

2). <2 and <3 [ <2 = <3]

3). <5 and <8 [<5 = <8]

4). <6 and <7 [<6 = <7]

Answer 2

∠1=∠4

∠3=∠2

∠5=∠8

∠6=∠7

Explanation:

By definition:

- The angles that are opposite when a two lines intersect each other are called vertical angles.

- Vertical angles are congruent.

Keeping the information above on mind, the set of angles that are vertical are:

∠1 and ∠4 (∠1=∠4)

∠3 and ∠2 (∠3=∠2)

∠5 and ∠8 (∠5=∠8)

∠6 and ∠7 (∠6=∠7)