Question

# What is the reason for statement 2?

Statement | Reason | |

1 | ||

2 | ||

3 |

- Vertical Angles Theorem
- Corresponding Angles Theorem
- Alternate Exterior Angles Theorem
- Converse of Corresponding Angles Theorem

Hint:

### Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.

## The correct answer is: Vertical Angles Theorem

### Angles YXZ = angle SUT.

So, TV is parallel to WY by alternate exterior angle property.

Hence, the correct option is C.

Alternate exterior angles are always equal.

### Related Questions to study

### What is the reason for statement 3?

Statement | Reason | |

1 | ||

2 | ||

3 |

Corresponding angles are equal.

### What is the reason for statement 3?

Statement | Reason | |

1 | ||

2 | ||

3 |

Corresponding angles are equal.

### Solve for *x*.

In math, a linear pair of angles are those two adjacent angles whose sum is 180°.

### Solve for *x*.

In math, a linear pair of angles are those two adjacent angles whose sum is 180°.

### Solve for *x*.

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

### Solve for *x*.

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

### Angles 4 and 1 are what angle pair?

Supplementary angles can either be adjacent or non-adjacent. So, there are two types of supplementary angles. Each of these types of supplementary angles is explained below.

(1) Adjacent Supplementary angle.

(2) Non - Adjacent Supplementary angle.

### Angles 4 and 1 are what angle pair?

Supplementary angles can either be adjacent or non-adjacent. So, there are two types of supplementary angles. Each of these types of supplementary angles is explained below.

(1) Adjacent Supplementary angle.

(2) Non - Adjacent Supplementary angle.

### What is the value of *x*?

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

### What is the value of *x*?

### 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.