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

Question

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

(b) alternate interior angles:

(c) alternate exterior angles:

Explanation:

Step1: Identify corresponding angles

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

Step2: Identify alternate interior angles

Alternate interior angles are between the two lines and on opposite sides of the transversal. $\angle6$ and $\angle4$ are alternate interior angles.

Step3: Identify alternate exterior angles

Alternate exterior angles are outside the two lines and on opposite sides of the transversal. $\angle7$ and $\angle3$ are alternate exterior angles.

Answer:

(a) Corresponding angles: $\angle5$ and $\angle1$; (b) Alternate interior angles: $\angle6$ and $\angle4$; (c) Alternate exterior angles: $\angle7$ and $\angle3$