Which set of angles are vertical angles?

∠1=∠4

∠3=∠2

∠5=∠8

∠6=∠7

Step-by-step 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)

There are 4 set of vertical angles.

Step-by-step 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]

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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