Consecutive Interior Angles Example:
∠3 and ∠6 are consecutive interior angles
∠4 and ∠5 are consecutive interior angles
Consecutive Interior Angles Properties:
Consecutive interior angles are supplementary
Consecutive interior angles 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?
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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