Question

Identify the pairs of alternate exterior angles in the given figure.

Question 14 options:


A)
∠3 and ∠6; ∠4 and ∠5


B)
∠2 and ∠7; ∠1 and ∠8


C)
∠3 and ∠5; ∠4 and ∠6


D)
∠1 and ∠7; ∠2 and ∠8

Answer 1

Answer: Choice D

• Angle 1 and angle 7
• Angle 2 and angle 8

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Step-by-step explanation:

The angles 3,4,5,6 are all considered interior angles because they are inside or between the parallel lines.

The remaining angles 1,2,7,8 are exterior angles as they outside the parallel lines. You can think of angles 3,4,5,6 being in the river or a road, while the other angles are on the sidewalk or the shoreline.

Alternating angles are ones that are on either side of the transversal cut.

Combining the two ideas leads to alternate exterior angles being outside the parallel lines and on either side of the transversal. This applies to the following pairs:

• angle 1 and angle 7
• angle 2 and angle 8

This is why choice D is the answer.