Correctly label the angle relationships given the picture below. (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Angles Relationship <1 & <6 <3 & <2 <1 & <8

1 answer

To correctly label the angle relationships, here are the typical relationships you would find depending on the positioning of the angles in a typical diagram (like parallel lines cut by a transversal):

  1. Angles <1 & <6: These are typically alternate interior angles if <1 is on one side of the transversal and <6 is on the opposite side. If two parallel lines are cut by a transversal, these angles are equal.

  2. Angles <3 & <2: These angles are usually corresponding angles. If the two angles are in the same position relative to the transversal but on different parallel lines, then they are equal.

  3. Angles <1 & <8: These angles are typically classified as same-side interior angles. If <1 and <8 are on the same side of the transversal and between the two parallel lines, they are supplementary (add up to 180 degrees).

So, you could label them as follows:

  • <1 & <6: Alternate Interior Angles
  • <3 & <2: Corresponding Angles
  • <1 & <8: Same-Side Interior Angles

Make sure to confirm these relationships based on the specific positioning in your diagram.