Question

Which angle relationships are correct? Check all that

apply.
1.) 21 and 28 are alternate exterior angles.
2.) 24 and 26 are same side interior angles.
3.) 25 and 27 are vertical angles.
4.) 22 and 28 are corresponding angles.
5.) 23 and 26 are alternate interior angles.

Answer 1

The student's question involves identifying different angle relationships, such as alternate exterior angles, same side interior angles, and vertical angles, which are key concepts in geometry often used for understanding geometric figures and solving problems.

Step-by-step explanation:

The question involves identifying the relationships between various pairs of angles, likely from a geometric figure involving parallel lines cut by a transversal. The correct angle relationships from the options given are as follows:

1. 21 and 28 are alternate exterior angles if the lines are parallel.
2. 24 and 26 are same side interior angles also known as consecutive interior angles, again if the lines are parallel.
3. 25 and 27 are vertical angles, which are always congruent.
4. 22 and 28 are corresponding angles if the lines are parallel.
5. 23 and 26 are alternate interior angles if the lines are parallel.

These angle relationships help us understand and solve problems involving geometric figures, ensuring we apply the correct theorems and postulates in geometric proofs and real-world applications