Question

fill in the missing angle measure. then select the relationship between the given and the missing angle. 127° (image of two parallel lines cut by a transversal with one angle labeled 127° and another missing angle boxed as 127°; options: same - side interior angles, alternate interior angles, corresponding angles, alternate exterior angles)

Explanation:

Step1: Identify angle relationship

The angles are on opposite sides of the transversal, outside the two parallel lines, so they are Alternate Exterior Angles, which are congruent.

Step2: Set missing angle measure

Since alternate exterior angles are congruent, the missing angle equals the given angle.
$\text{Missing angle} = 127^\circ$

Answer:

Missing angle measure: $127^\circ$
Angle relationship: Alternate Exterior Angles