Question

when parallel lines are cut by a transversal: alternate interior angles - are congruent alternate exterior angles - are congruent corresponding angles - are congruent same - side interior angles - are supplementary (add to 180) same - side exterior angles - are supplementary (add to 180) what type of angles are ∠1 & ∠8? select are these angles congruent or supplementary? select if m∠1 = 130, find ∠8 select

Explanation:

Step1: Identify angle - pair type

$\angle1$ and $\angle8$ are alternate exterior angles as they are outside the parallel lines and on opposite sides of the transversal.

Step2: Determine congruence/supplementary

Alternate exterior angles are congruent when parallel lines are cut by a transversal.

Step3: Find the measure of $\angle8$

Since $\angle1$ and $\angle8$ are congruent and $m\angle1 = 130$, then $m\angle8=130$.

Answer:

1. Alternate Exterior Angles
2. Congruent
3. 130