Question

Line k is parallel to line l.

Lines k and l are parallel. Lines m and n intersect to form 2 triangles. The top triangle has angles 1, 2, 3 and the bottom triangle has angles 4, 5, 6.

Which angle is congruent to Angle 4?
Angle 1
Angle 2
Angle 5
Angle 6

Answer 1

Since lines \( k \) and \( l \) are parallel, we can use the property of corresponding angles when a transversal intersects two parallel lines.

Given that lines \( m \) and \( n \) intersect lines \( k \) and \( l \), the angles formed at these intersections will have relationships based on their positions.

In the top triangle, we have angles \( 1 \), \( 2 \), and \( 3 \). In the bottom triangle, we have angles \( 4 \), \( 5 \), and \( 6 \).

When looking at angle \( 4 \), we will determine which angle from the top triangle is congruent to it.

Since angles \( 1 \) and \( 4 \) are corresponding angles (assuming angle \( 1 \) is positioned above angle \( 4 \) on the transversal), angle \( 1 \) is congruent to angle \( 4 \).

To summarize:
- Angles \( 1 \) and \( 4 \) are corresponding angles.
- Therefore, angle \( 1 \) is congruent to angle \( 4 \).

So the answer is: **Angle 1**.