Lines a and b are parallel.
Which of the following angles are co-interior?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Lines a and b are parallel.
Which of the following angles are co-interior?
Let's remember the definition of consecutive angles:
Consecutive angles are, in fact, a pair of angles that can be found on the same side of a straight line when this line crosses a pair of parallel straight lines.
These angles are on opposite levels with respect to the parallel line to which they belong.
The sum of a pair of angles on one side is one hundred eighty degrees.
Therefore, since line a is parallel to line b and according to the previous definition: the angles
are consecutive.
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
Co-interior means together inside! These angles are on the same side of the transversal (the line crossing the parallels) and between the two parallel lines.
Draw an imaginary line along the transversal. Angles on the left side are together, and angles on the right side are together. In this diagram, β and γ are both on the right side of the transversal.
When parallel lines are cut by a transversal, co-interior angles are supplementary. This happens because alternate interior angles are equal, and adjacent angles on a straight line sum to 180°.
No! While α and δ are both between the parallel lines, they're on opposite sides of the transversal. Co-interior angles must be on the same side.
Corresponding angles are in the same relative position but one is above line a and one is above line b. Co-interior angles are both between the parallel lines on the same side.
Get unlimited access to all 18 Parallel and Perpendicular Lines questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime