In the picture, one angle is labeled 22° and lines S and T are parallel. Which other three angles will be 22°?

Remember to select 3 answers.

(3 points)
Responses

1
1

2
2

3
3

4
4

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5

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7

1 answer

To identify the angles that are equal to 22° in a scenario involving parallel lines, we typically use the relationships of corresponding angles, alternate interior angles, and same-side interior angles.

If angle 1 is labeled as 22° and lines S and T are parallel, the other angles that would also measure 22° are:

  1. The angle corresponding with angle 1 (which is on the same side of the transversal and in the same relative position).
  2. The alternate interior angle to angle 1 (which is on the opposite side of the transversal and also between the parallel lines).
  3. The same-side interior angle which is supplementary to angle 1 if it were involved in a linear pair, but in this case, you are looking for angles equal to 22°, not supplementary.

Based on these principles, I would advise you to select the angles that correspond in terms of their spatial relationship to the labeled angle. Without seeing the actual diagram, I can't specify which exact numbered angles correspond, but typically you would find three angles relative to the given 22°.

Please refer to your diagram and look for:

  • The angle directly across from angle 1,
  • The angle in the same position on the parallel line,
  • The alternate interior angle.

Thus, choose any three angles that fit these criteria.