Transversal ef cuts parallel lines ab and cd as shown in the diagram, and m∠4 = 55.1°. what are m∠5 and m∠7?

M < 5 = 55.1°

Due to the fact that <4 and <5 are vertical angles, their measurements are the same.

m < 7 = 124.9°

Due to the fact that <3 and <7 are corresponding angles, you can conclude that <4 and <7 are supplementary (their angles together have a sum of 180°) angles.

180° - 55.1° = 124.9°