Given: line a is parallel to line b

Identify a pair of congruent corresponding angles.
A) 1 & 4
B) 1 & 8
C) 2 & 5
D) 4 & 8

Option D:

4 & 8 are congruent corresponding angles

Explanation:

Given data:

Line a is parallel to line b.

To identify the pair of congruent corresponding angles:

Option A: 1 & 4

∠1 and ∠4 are vertically opposite angles.

By vertical angle theorem, vertically opposite angles are congruent.

∠1 ≅ ∠4

But they are not corresponding angles.

Hence it is not true.

Option B: 1 & 8

∠1 and ∠8 are not corresponding angles.

Hence it is not true.

Option C: 2 & 5

∠2 is the exterior angle and ∠5 is the interior angle is the alternate side.

So, ∠2 and ∠5 are not corresponding angles.

Hence it is not true.

Option D: 4 & 8

∠4 and ∠8 are lies in the same side of the transversal.

So, ∠4 and ∠8 are corresponding angles.

They are congruent.

Hence it is true.

Therefore a pair of congruent corresponding angles are 4 & 8.

Option D is the correct answer.