# Consecutive Interior Angles

## Consecutive Interior Angles Example:

∠3 and ∠6 are consecutive interior angles

∠4 and ∠5 are consecutive interior angles

## Properties:

They are supplementary

They add up to 180°

## Consecutive Interior Angles Proof:

Given: a || b and t with transversal t

Prove: ∠3 and ∠6 are supplementary

Statement | Reason |
---|

a || b and t with transversal t | Given |

∠2 ≅ ∠6 | Corresponding Angle Postulate |

m∠2 ≅ m∠6 | Definition of congruent angles |

∠3 and ∠2 are supplementary | Linear pair postulate |

m∠3 + m∠2 = 180° | Definition of supplementary angles |

m∠3 + m∠6 = 180° | Substitution Property |

∠3 and ∠6 are supplementary | Definition of supplementary angles |

##### How does the Consecutive Interior Angles Calculator work?

Free Consecutive Interior Angles Calculator - Shows you a proof of consecutive interior angles using parallel lines and a transversal

### What 3 formulas are used for the Consecutive Interior Angles Calculator?

Consecutive interior angles are supplementary

Consecutive interior angles add up to 180°

For more math formulas, check out our

Formula Dossier
### What 7 concepts are covered in the Consecutive Interior Angles Calculator?

- consecutive interior angles
- the pairs of angles that are between two lines and on the same side of the line cutting through the two lines.
- interior angles
- the angles between adjacent sides of a rectilinear figure
- parallel lines
- two lines which never cross and always the same distance apart
- proof
- an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion
- supplementary angles
- Two angles are supplementary angles if the sum of their measures is equal to 180°
- transversal
- a line that passes through two lines in the same plane at two distinct points.
- two column proof
- This consists of a list of statements, and the reasons that we know those statements are true. The two column proof has five parts:

1) Given

2) Proposition

3) Statement Column

4) Reason Column

5) Diagram

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