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your answer is incorrect. (b): your answer is incorrect. give a pair of…

Question

your answer is incorrect.
(b): your answer is incorrect.
give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior angles.
(a) corresponding angles: ∠1 and ∠3
(b) alternate exterior angles: ∠1 and ∠7
(c) alternate interior angles: ∠2 and ∠7

Explanation:

Step1: Define corresponding angles

Corresponding angles occupy matching positions on the same side of the transversal, relative to the parallel lines. For example, $\angle 1$ and $\angle 3$, or $\angle 5$ and $\angle 7$.

Step2: Define alternate exterior angles

Alternate exterior angles lie outside the parallel lines, on opposite sides of the transversal. For example, $\angle 1$ and $\angle 8$, or $\angle 2$ and $\angle 4$.

Step3: Define alternate interior angles

Alternate interior angles lie inside the parallel lines, on opposite sides of the transversal. For example, $\angle 2$ and $\angle 7$, or $\angle 6$ and $\angle 3$.

Answer:

(a) Corresponding angles: $\angle 1$ and $\angle 3$
(b) Alternate exterior angles: $\angle 1$ and $\angle 8$
(c) Alternate interior angles: $\angle 2$ and $\angle 7$