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.
$angle 1 approximately equal to angle 4$

Vertical angles are always equal.

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.
$angle 1 approximately equal to angle 2$

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.
$angle 1 approximately equal to angle 2$

Here, sum of angles 1 and 2 is 180°.

Which property does the statement illustrate?
$text If end text angle 1 approximately equal to angle 2 text and end text angle 2 approximately equal to angle 4 text , then end text angle 1 approximately equal to angle 4 text . end text$

Same applies on number and shapes.

Which property does the statement illustrate?
$text If end text angle 1 approximately equal to angle 2 text and end text angle 2 approximately equal to angle 4 text , then end text angle 1 approximately equal to angle 4 text . end text$

Same applies on number and shapes.

Which property does the statement illustrate?
$text If end text stack H J with bar on top approximately equal to stack L M with bar on top text , then end text stack L M with bar on top approximately equal to stack H J with bar on top.$

If a=b, then b = a.

Which property does the statement illustrate?
$text If end text stack H J with bar on top approximately equal to stack L M with bar on top text , then end text stack L M with bar on top approximately equal to stack H J with bar on top.$

If a=b, then b = a.

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?
$angle Y X Z approximately equal to angle S U T text . Complete the proof that end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text . end text$

Statement Reason

1 $angle Y X Z approximately equal to angle S U T$

2 $angle S U T approximately equal to angle V U X$

3 $angle Y X Z approximately equal to angle V U X$

Alternate exterior angles are always equal.

What is the reason for statement 2?
$angle Y X Z approximately equal to angle S U T text . Complete the proof that end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text . end text$

Statement Reason

1 $angle Y X Z approximately equal to angle S U T$

2 $angle S U T approximately equal to angle V U X$

3 $angle Y X Z approximately equal to angle V U X$

Alternate exterior angles are always equal.

What is the reason for statement 3?
$angle Y X Z approximately equal to angle S U T text . Complete the proof that end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text . end text$

Statement Reason

1 $angle Y X Z approximately equal to angle S U T$

2 $angle S U T approximately equal to angle V U X$

3 $angle Y X Z approximately equal to angle V U X$

Corresponding angles are equal.

What is the reason for statement 3?
$angle Y X Z approximately equal to angle S U T text . Complete the proof that end text stack T V with left right arrow on top ‖ stack W Y with left right arrow on top text . end text$

Statement Reason

1 $angle Y X Z approximately equal to angle S U T$

2 $angle S U T approximately equal to angle V U X$

3 $angle Y X Z approximately equal to angle V U X$

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?

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.

Find the values of x and y.

Vertically opposite angles are always equal.

Find the values of x and y.