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 & ∠5? select are these angles congruent or supplementary? select if m∠1 = 115, find ∠5 select

Explanation:

Step1: Identify angle - type

$\angle1$ and $\angle5$ are corresponding angles as they are in the same relative position with respect to the parallel lines and the transversal.

Step2: Determine congruence/supplementary

Corresponding angles formed by parallel lines cut by a transversal are congruent.

Step3: Find the measure of $\angle5$

Since $\angle1$ and $\angle5$ are congruent and $m\angle1 = 115^{\circ}$, then $m\angle5=115^{\circ}$.

Answer:

1. Corresponding Angles
2. congruent
3. $115^{\circ}$