Question

1. if parallel lines are intersected by a transversal then which angles are always supplementary?

a. alternate interior angles
b. same side exterior angles
c. corresponding angles
d. vertical angles

Explanation:

To solve this, we recall the properties of angles formed by parallel lines and a transversal:

• Alternate interior angles (A): These are equal, not supplementary.
• Same - side exterior angles (B): When two parallel lines are cut by a transversal, same - side exterior angles are supplementary (their sum is \(180^{\circ}\)).
• Corresponding angles (C): These are equal, not supplementary.
• Vertical angles (D): These are equal, not supplementary.

Answer:

B. same side exterior angles