Q:

In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines. The measure of angle ABC is 118°

Accepted Solution

A:
Answer:n° = 62°p° = 62°q° = 118°v° = 84°w° = 138°Step-by-step explanation:angle ABC is 118°som° + 118° = 180m° = 180° - 118°m° = 62°n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)p° = n° = 62° (vertical angles are equal)q° + n° = 180° (linear pair angles)q° + 62° = 180°q° = 180° - 62°q° = 118°v° + 96° = 180° (linear pair angles)v°  = 180° - 96°v° = 84°w° + 42° = 180 (linear pair angles)w° = 180° - 42°w° = 138°