Question

identify each pair of angles as either corresponding, alternate interior, alternate exterior, or same side interior. angles and transversals practice date period 2nd 1) 2) 3) 4) 5) 6) a is parallel to b and p is a transversal. fill in the blanks describing the angle relationships. ∠3 and ∠__ are corresponding angles ∠3 and ∠ are alternate interior angles ∠3 and ∠ are same side interior interior angles ∠3 and ∠ are vertical angles ∠8 and ∠ are corresponding angles ∠8 and ∠ are alternate exterior angles ∠8 and ∠__ are same side interior angles

Explanation:

Step1: Recall angle - relationship definitions

Corresponding angles are in the same relative position. Alternate interior angles are between the parallel lines and on opposite sides of the transversal. Same - side interior angles are between the parallel lines and on the same side of the transversal. Vertical angles are opposite each other at the intersection of two lines.

Step2: Analyze for ∠3

• Corresponding to ∠3 is ∠7.
• Alternate interior to ∠3 is ∠6.
• Same - side interior to ∠3 is ∠5.
• Vertical to ∠3 is ∠1.

Step3: Analyze for ∠8

• Corresponding to ∠8 is ∠4.
• Alternate exterior to ∠8 is ∠2.
• There is an error in the problem statement as it says "same side interior exterior" which is incorrect. If we assume it means same - side exterior, then the same - side exterior angle to ∠8 is ∠4.

Answer:

∠3 and ∠7 are corresponding angles.
∠3 and ∠6 are alternate interior angles.
∠3 and ∠5 are same side interior angles.
∠3 and ∠1 are vertical angles.
∠8 and ∠4 are corresponding angles.
∠8 and ∠2 are alternate exterior angles.
(Assuming the last one should be same - side exterior) ∠8 and ∠4 are same side exterior angles.