# Corresponding Angles: in Parallel Lines

How to solve the corresponding angles in parallel lines: formula, 2 examples, and their solutions.

## Transversal

### Definition

A transversal is a line

that passes through two lines.

## Corresponding Angles

### Definition

By two lines and a transversal,

four pairs of corresponding angles are formed.

∠1 and ∠1'

∠2 and ∠2'

∠3 and ∠3'

∠4 and ∠4'

## Formula

### Formula

Corresponding angles in parallel lines

are congruent.

m∠1 = m∠1'

m∠2 = m∠2'

m∠3 = m∠3'

m∠4 = m∠4'

## Example 1

### Example

### Solution

The given angles are

corresponding angles in parallel lines.

So the given angles are congruent.

So [7x + 1] = [64].

Move +1 to the right side.

Divide both sides by 7.

Then x = 9.

So x = 9.

## Example 2

### Example

### Solution

These two horizontal lines are parallel.

So the right angles are

corresponding angles in parallel lines.

So these two angles are congruent.

Next, these two inclined lines are parallel.

So the bottom angles are also

corresponding angles in parallel lines.

So these two angles are congruent.

These three angles are all congruent.

So [14x - 3] = [8x + 45].

Move -3 to the right side

and move 8x to the left side.

Then,

14x - 8x, 6x

is equal to,

45 + 3, 48.

Divide both sides by 6.

Then x = 8.

So x = 8.