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:

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

## The correct answer is 'True'.

### ∠1 and ∠3 are vertical angles, so they are congruent.

Hence, the correct option is A.

Vertical angles are always equal.

### Related Questions to study

### 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.

Here, sum of angles 1 and 2 is 180°.

### 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.

Here, sum of angles 1 and 2 is 180°.

### 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*?

### 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°.