Question

Given: line a is parallel to line b

Identify a pair of congruent alternate interior angles.
A) 3 & 6
B) 1 & 8
C) 2 & 5
D) 4 & 8

Answer 1

A is a pair of congruent angles. Answer is A) 3&6

Answer 2

Option# A: 3 and 6

Explanation:

The line cutting the parallel lines a and b is called a Transversal. There is a theorem in mathematics for this scenario called, Alternate Interior angles theorem.

Alternate Interior Angles Theorem

"It states that, if two parallel lines are cut by a transversal, then the pair of alternate interior angles are congruent."

For our Case:

Line a and b are parallel, and the interior angles made by the transversal are 3, 4, 5 and 6, respectively. Here, 3 is the alternate angle of 6, as they are on the opposite side of the transversal. Similarly, 4 is the alternate angle of 5. Hence, 3 and 6 are congruent, and 4 and 5 are congruent.

As only 3 and 6 are present in the options, therefore, option# A is correct.