Question

1. the measures of consecutive interior angles when a transversal cuts through parallel lines are:

a. complementary
b. equal
c. supplementary
d. vertical

Explanation:

When a transversal cuts through parallel lines, by the consecutive interior angles theorem, the sum of consecutive interior angles is \(180^{\circ}\). Angles whose sum is \(180^{\circ}\) are called supplementary angles. Complementary angles sum to \(90^{\circ}\), equal angles have the same measure (this is for alternate interior or corresponding angles in some cases for parallel lines and transversal), and vertical angles are opposite angles formed by two intersecting lines.

Answer:

C. Supplementary