Question

which of the following angles are formed by a transversal intersecting parallel lines and are equal?
a. complementary angles
b. adjacent angles
c. supplementary angles
d. corresponding angles

Explanation:

Step1: Define complementary angles

Complementary angles add up to 90°. They are not related to angles formed by a transversal and parallel - lines in terms of equality.

Step2: Define adjacent angles

Adjacent angles share a common side and vertex. They are not necessarily equal when a transversal intersects parallel lines.

Step3: Define supplementary angles

Supplementary angles add up to 180°. They are not equal in the context of transversal - parallel line intersection (except in special cases like right - angles).

Step4: Define corresponding angles

When a transversal intersects two parallel lines, corresponding angles are in the same relative position at each intersection and are equal.

Answer:

D. Corresponding angles