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