Question

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

if m∠ BHF = 115, then m∠3 =?

- 45
- 25
- 35
- 15

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: 25

### m∠ BHG + m∠6 = m∠ BHF

90 + m∠6 = 115

m∠6 = 115 – 90 = 25

Since m∠6 and m∠3 are vertical angles, they are congruent.

m∠3 = m∠6

m∠3 = 25.

Hence, the correct option is C.

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

### Related Questions to study

### 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.

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

Two points are said to intersect if a have a common point.

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

Two points are said to intersect if a have a common point.