Question

you have answered the question incorrectly. please view the following explanation bel
?8 ? ?1 (alternate exterior angles). ??8 = 110°
lines a and b are parallel. what is the measure of ∠8 if ∠1 measures 110°?
a 35°
b 55°
c 70°
d 110°

Explanation:

Step1: Find the measure of ∠3

Since ∠1 and ∠3 are vertical angles, and vertical angles are equal.
So, ∠3 = ∠1 = 110°.

Step2: Find the measure of ∠5

Because lines a and b are parallel, and ∠3 and ∠5 are alternate interior angles. Alternate interior angles are equal when two parallel lines are cut by a transversal.
So, ∠5 = ∠3 = 110°.

Step3: Find the measure of ∠8

Since ∠5 and ∠8 are vertical angles, and vertical angles are equal.
So, ∠8 = ∠5 = 110°.

Answer:

D. 110°