Question

# What is the value of *x*?

- 9
- 27
- 137

Hint:

### Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

## The correct answer is: 9

### Here, we have to find the value of x.

From vertically opposite angles,

5x = 45

x = 9

Hence, the correct option is (a).

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

### Related Questions to study

### Name a pair of angles that are vertical.

They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles.

### Name a pair of angles that are vertical.

They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles.

### Find the values of *x* and *y*.

Vertically opposite angles are always equal.

### Find the values of *x* and *y*.

Vertically opposite angles are always equal.

### In a figure, ∠ A and ∠ D are complementary angles and m∠ A = 4x. Which expression can be used to find m∠ D?

Sum of angles A and D is 90°.

### In a figure, ∠ A and ∠ D are complementary angles and m∠ A = 4x. Which expression can be used to find m∠ D?

Sum of angles A and D is 90°.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠3 = 32, then m∠2 =?

Angle 2 and 3 form a right angle.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠3 = 32, then m∠2 =?

Angle 2 and 3 form a right angle.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

if m∠ DHF = 133, then m∠ CHG =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

if m∠ DHF = 133, then m∠ CHG =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠6 = 27, then m∠1 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠6 = 27, then m∠1 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

if m∠ BHF = 115, then m∠3 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

if m∠ BHF = 115, then m∠3 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠3 = 30, then m∠6 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠3 = 30, then m∠6 =?

Vertical angles are formed when two lines meet each other at a point.

### In the diagram, if m∠2 = 62, find m∠1, m∠3, and m∠4.

Vertical angles are formed when two lines meet each other at a point.

### In the diagram, if m∠2 = 62, find m∠1, m∠3, and m∠4.

Vertical angles are formed when two lines meet each other at a point.

### Where do planes AGE, GHI, and JIE intersect?

There are infinite number of lines in a plane.

### Where do planes AGE, GHI, and JIE intersect?

There are infinite number of lines in a plane.

### Where do plane ACH and plane GFE intersect?

### Where do plane ACH and plane GFE intersect?

### Name a point that is coplanar with A, E, and J.

A plane has infinite number of lines and points. All the points in a plane are called coplanar.

### Name a point that is coplanar with A, E, and J.

A plane has infinite number of lines and points. All the points in a plane are called coplanar.

### Use the diagram to tell if the statement is true or false.

∠NKL and ∠JKM are vertical angles.

Vertical angles are angles opposite each other where two lines cross.