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.
