Question13. What are angles 1 and 5 called, and why are they called that?
Studdy Solution
STEP 1
1. The problem involves identifying the relationship between angles formed by two parallel lines intersected by a transversal.
2. Angles 1 and 5 are located on the same side of the transversal but at different intersections.
3. The names of angle pairs formed by parallel lines and a transversal include corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.
STEP 2
1. Identify the position of angles 1 and 5 relative to the parallel lines and the transversal.
2. Determine the specific relationship between angles 1 and 5 based on their positions.
3. Provide the name of the angle pair relationship and explain why they are called that.
STEP 3
Identify the position of angles 1 and 5. Angle 1 is at the top intersection on the upper left side of the transversal, and angle 5 is at the bottom intersection on the lower left side of the transversal.
STEP 4
Determine the specific relationship between angles 1 and 5. Since both angles are on the same side of the transversal and are at different intersections, they are corresponding angles.
STEP 5
Explain why angles 1 and 5 are called corresponding angles. Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses parallel lines, meaning one is on the top left of one intersection and the other is on the top left of another intersection.
Solution:
Angles 1 and 5 are called corresponding angles because they occupy the same relative position at each intersection where the transversal crosses the parallel lines.
Was this helpful?
