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Answer: A. Angle 1 and Angle 7

Step-by-step explanation:

A: Angle 1 and 7 are same side exterior angles so they are not equal but add up to 180 degrees and supplementary angles add up to 180 degrees.

B. Angle 3 and Angle 6 are alternate interior angles so Angle 3 and Angle 6 are equal.

C. Angle 2 and Angle 7 are alternate exterior angles so Angle 2 and Angle 7 are equal.

D. Angle 1 and Angle 4 are vertical angles so Angle 1 and Angle 4 are equal.

The pair of angles that demonstrate a pair of supplementary angles in the given figure would be:

A). Angle 1 and Angle 7

Supplementary angles are characterized as the two angles(one angle added to another referenced angle) that together sum up to be 180 degrees.

For example, the pair of 70° and 110° angles would be characterized as supplementary angles as they have a total of 180°.

  • In the given figure, ∠1 and ∠7 would be the pair of supplementary angles because they are the exterior angles located on the very same side of the transversal.
  • The second option is incorrect as ∠3 and ∠6 exemplify alternate interior angles and carry equal measurement.
  • While the third option is incorrect as ∠2 and ∠7 illustrate alternate exterior angles and they are equal too.  
  • The last option is wrong because ∠1 and ∠4 exemplify vertically opposite angles and they are equal.
  • Thus, option A is the correct answer.

Learn more about 'angles' here:

brainly.com/question/14954407

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