Question

assuming the lines are parallel:
what type of angles are ∠1 & ∠8?
are these angles congruent or supplementary?
if m∠1 = 155°, find ∠8

Explanation:

Step1: Use the property of congruent angles

Since ∠1 and ∠8 are alternate exterior angles and the lines are parallel, they are congruent.

Step2: Calculate the measure of ∠8

If \(m\angle1 = 155^{\circ}\), and ∠1 ≅ ∠8 (because alternate exterior angles are congruent when lines are parallel), then \(m\angle8=155^{\circ}\)

Answer:

\(155^{\circ}\)