Are consecutive angles congruent?
Understand the Problem
The question is asking whether consecutive angles are congruent, which involves understanding the properties of angles, particularly in the context of polygons or parallel lines cut by a transversal.
Answer
No, consecutive angles are not congruent.
Consecutive angles are generally not congruent but can be supplementary; specifically, consecutive interior angles are supplementary, summing to 180 degrees, when a transversal intersects two parallel lines.
Answer for screen readers
Consecutive angles are generally not congruent but can be supplementary; specifically, consecutive interior angles are supplementary, summing to 180 degrees, when a transversal intersects two parallel lines.
More Information
Consecutive angles, like consecutive interior angles formed by a transversal intersecting two parallel lines, are supplementary (adding to 180 degrees) but not congruent.
Tips
A common mistake is to assume all types of consecutive angles are congruent. Understand the specific conditions such as supplementary for interior angles.
Sources
- Consecutive Interior Angles - Definition, Theorem, Examples - cuemath.com
- Consecutive Angles - Definition, Types, Theorem & Examples - cuemath.com
- Consecutive Angles – Definition, Types, Theorem, Examples, FAQs - splashlearn.com
