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give a pair of corresponding angles, a pair of alternate exterior angle…

Question

give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior angles.

Explanation:

Step1: Identify corresponding angles

Corresponding angles are in the same relative position. $\angle1$ and $\angle5$ are corresponding angles.

Step2: Identify alternate exterior angles

Alternate exterior angles are outside the two lines and on opposite sides of the transversal. $\angle2$ and $\angle8$ are alternate exterior angles.

Step3: Identify alternate interior angles

Alternate interior angles are inside the two lines and on opposite sides of the transversal. $\angle3$ and $\angle5$ are alternate interior angles.

Answer:

(a) Corresponding angles: $\angle1$ and $\angle5$
(b) Alternate exterior angles: $\angle2$ and $\angle8$
(c) Alternate interior angles: $\angle3$ and $\angle5$