Line r is parallel to line c.

Parallel lines r and c are crossed by lines x and y to form 2 triangles. At parallel line r, the angle formed by x is 5 and the angle formed by y is 4. At parallel line c, the angle formed by x is 3 and the angle formed by y is 2. Angles 1 and 6 are at the intersection of lines x and y.

Which angle is congruent to Angle 3?

Angle 2

Angle 4

Angle 5

Angle 6

The correct answer is Angle 5

Step-by-step explanation: Please refer you the attached diagram for details.

The parallel lines r and c have been drawn and two other lines x and y intersect both parallel lines resulting in two triangles formed between both parallel lines.

At parallel line c, the angle formed by line x is angle 3 as shown. Also at parallel line r, the angle formed by line x is angle 5 as shown. Upon careful observation, angle 6 is congruent to angle 1 (opposite angles are equal). Also angle 3 is equal to angle 5 just as angle 2 is congruent to angle 4 (alternate angles are equal).

Therefore, the one congruent to angle 3 is angle 5 as shown in the diagram attached (alternate angles).

the correct answer is the second option