Question

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

If m∠3 = 32, then m∠2 =?

- 58
- 38
- 78
- 28

Hint:

### 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.

## The correct answer is: 58

### m∠BHG and m∠ BHD form a linear pair, so they are supplementary.

m∠BHG + m∠BHD = 180

90 + m∠BHD = 180

m∠BHD = 90

m∠BHD = m∠3 + m∠2

90 = 32 + m∠2

m∠2 = 90 – 32 = 58.

Hence, the correct option is B.

Angle 2 and 3 form a right angle.

### Related Questions to study

### 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.

### 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.