Question
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠4 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the following statement is true or false.
- True
- False
Hint:
When the lines are perpendicular then angles are equal.
The correct answer is 'False'.
∠1 and ∠2 are a linear pair, so they are supplementary, not congruent.
Hence, the statement is false.
Here, sum of angles 1 and 2 is 180°.
Related Questions to study
Which property does the statement illustrate?
Same applies on number and shapes.
Which property does the statement illustrate?
Same applies on number and shapes.
Which property does the statement illustrate?
If a=b, then b = a.
Which property does the statement illustrate?
If a=b, then b = a.
Find the measure of each angle in the diagram.
Find the measure of each angle in the diagram.
Complete the statement with <, >, or =.
If m∠ 4 = 30, then m∠ 5? m∠ 4.
When two angles are formed on a straight line, they are called linear pair.
Complete the statement with <, >, or =.
If m∠ 4 = 30, then m∠ 5? m∠ 4.
When two angles are formed on a straight line, they are called linear pair.
Complete the statement with <, >, or =.
m∠ 8 + m∠ 6? 150
When two angles are formed on a straight line, they are called linear pair.
Complete the statement with <, >, or =.
m∠ 8 + m∠ 6? 150
When two angles are formed on a straight line, they are called linear pair.
What is the reason for statement 2?
| Statement | Reason | |
| 1 |  |
|
| 2 |  |
|
| 3 |  |
Alternate exterior angles are always equal.
What is the reason for statement 2?
| Statement | Reason | |
| 1 | |
|
| 2 | |
|
| 3 | |
Alternate exterior angles are always equal.
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.
