Question

Line v is parallel to line w.

Parallel lines v and w are crossed by lines s and t to form 2 triangles. At parallel line v, the angle formed by line t is 1 and formed by line s is 2. At parallel line w, the angle formed b line is 4 and line t is 5. Angles 3 and 6 are formed by s and t.

Which set of statements about the angles is true?
Angle 1 is congruent to angle 6, angle 2 is congruent to angle 4, angle 3 is congruent to angle 5
Angle 1 is congruent to angle 5, angle 2 is congruent to angle 4, angle 3 is congruent to angle 6
Angle 6 is congruent to angle 2, angle 5 is congruent to angle 4, angle 1 is congruent to angle 3
Angle 6 is congruent to angle 1, angle 3 is congruent to angle 2, angle 4 is congruent to angle 5

Answer 1

The second set is true.

Reason: Since v ∥ w, corresponding angles made by the same transversal are congruent, so angle 1 ≅ angle 5 (transversal t) and angle 2 ≅ angle 4 (transversal s). Angles 3 and 6 are vertical angles at the intersection of s and t, so angle 3 ≅ angle 6.