Consecutive Interior Angles Example:
∠3 and ∠6 are consecutive interior angles
∠4 and ∠5 are consecutive interior angles
Properties:
They are supplementaryThey 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 supplementaryConsecutive 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 anglesthe pairs of angles that are between two lines and on the same side of the line cutting through the two lines.interior anglesthe angles between adjacent sides of a rectilinear figureparallel linestwo lines which never cross and always the same distance apartproofan inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusionsupplementary anglesTwo angles are supplementary angles if the sum of their measures is equal to 180°transversala line that passes through two lines in the same plane at two distinct points. two column proofThis 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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