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

StatementReason
a || b and t with transversal tGiven
∠2 ≅ ∠6Corresponding Angle Postulate
m∠2 ≅ m∠6Definition of congruent angles
∠3 and ∠2 are supplementaryLinear pair postulate
m∠3 + m∠2 = 180°Definition of supplementary angles
m∠3 + m∠6 = 180°Substitution Property
∠3 and ∠6 are supplementaryDefinition 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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