Ximpledu

Angles in Parallel Lines

See how to find the angles formed by parallel lines and a transversal.
6 examples and their solutions.

Angles in Parallel Lines

Property


m∠1 = m∠1' = m∠3 = m∠3'
m∠2 = m∠2' = m∠4 = m∠4'

Corresponding Angles

Definition


m∠1 = m∠1'
m∠2 = m∠2'
m∠3 = m∠3'
m∠4 = m∠4'
Corresponding Angles:
m∠1 and m∠1'
m∠2 and m∠2'
m∠3 and m∠3'
m∠4 and m∠4'

Example

Solution

Example

Solution

Alternate Interior Angles

Definition


m∠1 = m∠1'
m∠2 = m∠2'
Alternate Interior Angles:
m∠1 and m∠1'
m∠2 and m∠2'

Example

Solution

Example

Solution

Alternate Exterior Angles

Definition


m∠1 = m∠1'
m∠2 = m∠2'
Alternate Exterior Angles:
m∠1 and m∠1'
m∠2 and m∠2'

Example

Solution

Consecutive Interior Angles

Definition


m∠1 + m∠2 = 180
m∠1' + m∠2' = 180
Consecutive Interior Angles:
m∠1 and m∠2
m∠1' and m∠2'

Example

Solution