Question

Lines l and m are intersected by transversal t and l //m. Select all of the angles that are congruent to <5: A. 1 B. 2 C. 3 D. 4 E. 7 F. 8

Answer 1

The angles congruent to angle 5 when lines l and m are intersected by transversal t with l // m are angle 1 (corresponding angle), angle 4 (alternate interior angle), and angle 8 (alternate interior angle).

Step-by-step explanation:

When lines l and m are intersected by transversal t and lines l and m are parallel (l // m), certain angles become congruent. The angles that are congruent to <5 depend on their relative positions with respect to angle 5.

Based on the properties of parallel lines intersected by a transversal:

• Corresponding angles are equal.
• Alternate exterior angles are equal.
• Alternate interior angles are equal.
• Vertical angles are equal.

Therefore, the angles that are congruent to angle 5 are:

1. Angle 1 (Corresponding angle)
2. Angle 4 (Alternate interior angle)
3. Angle 8 (Alternate interior angle)

Hence, the correct answers are A. 1, D. 4, and F. 8.