Question

Which of the following options is/are correct when a transversal intersects two parallel lines?

• A. Corresponding angles are equal.
• B. Alternate interior angles are equal.
• C. Vertically opposite angles are equal.
• D. Complementary angles are equal.

Answer 1

Answer: (A), (B), (C)

The correct options are
A

Corresponding angles are equal.

B

Alternate interior angles are equal.

C

Vertically opposite angles are equal.

If two lines are parallel then:

Corresponding angles are equal i.e., $\angle a=\angle e$

Alternate interior angles are equal i.e., $\angle c=\angle f$

Alternate exterior angles are equal i.e., $\angle b=\angle g$

Vertically opposite angles are equal in case of intersecting lines.

Two angles are complementary when they add up to 90 degrees.