Geometry

Question Analysis

This question involves identifying the relationships of different angle pairs. The main focus is on understanding the properties of parallel lines cut by a transversal.

Key Concept Explanation:

When two parallel lines are cut by a transversal, several angle relationships hold true:

Corresponding angles are congruent.

Alternate interior angles are congruent.

Same-side interior angles are supplementary (add up to 180°).

Vertical angles are always congruent.

Option Analysis

The incorrect statement is Option B, because alternate interior angles are congruent for parallel lines cut by a transversal (not supplementary).

The other options are correct:

Option A & D: both of them satisfy the properties of parallel lines, so they are both correct.

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