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 Response area
<3 & <2 Response area
<1 & <8 Response area


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1 answer

To accurately label the angle relationships, you'll need to identify the relationships based on the positions of the angles (e.g., complementary, supplementary, vertical, adjacent, etc.). Here are the common relationships you might be looking for, depending on the arrangement of angles 1, 2, 3, 6, and 8.

  1. <1 & <6: Usually, if angle 1 and angle 6 are on opposite sides of the transversal (during a transversal crossing parallel lines), they are alternate interior angles or alternate exterior angles. If they are adjacent and share a side, they might be adjacent angles.

  2. <3 & <2: If angles 3 and 2 share a vertex and a side, they could be considered as adjacent angles. If they are also part of a straight line, they add up to 180 degrees, making them supplementary angles.

  3. <1 & <8: If angles 1 and 8 are positioned such that they are across from each other on a transversal, they are typically classified as vertical angles, which are congruent.

You can fill the input like this:

  • <1 & <6: [Insert appropriate relationship, e.g., Alternate Interior Angles]
  • <3 & <2: [Insert appropriate relationship, e.g., Supplementary or Adjacent Angles]
  • <1 & <8: [Insert appropriate relationship, e.g., Vertical Angles]

You will need to replace the placeholders with the specific relationships based on your visual interpretation of the angles.