Question

if one angle formed by a transversal intersecting parallel lines is 65 degrees, what is the measure of its vertical angle?
a. 120 degrees
b. 65 degrees
c. 180 degrees
d. 115 degrees

which of the following angle types are supplementary when a transversal intersects two parallel lines?
a. consecutive interior angles
b. alternate interior angles
c. corresponding angles
d. vertical angles

Explanation:

1. Vertical angles are congruent. So if one angle is 65 degrees, its vertical - angle is also 65 degrees.
2. When a transversal intersects two parallel lines, consecutive interior angles are supplementary (their sum is 180 degrees). Alternate interior angles are congruent, corresponding angles are congruent, and vertical angles are congruent.

Answer:

1. B. 65 degrees
2. A. Consecutive interior angles