Daniel created an intersection with his race track. One of the angles at the intersection is 55°. What are the three other angle measurements formed by the intersection?

(1 point)
Responses

55°, 175°, and 175°

55°, 175°, and 175°

65°, 125°, and 125°

65°, 125°, and 125°

55°, 125°, and 125°

55°, 125°, and 125°

65°, 125°, and 175°

1 answer

In an intersection, the angles formed are related to each other. If one angle is 55°, the angles adjacent to it will be supplementary to it (meaning they add up to 180°). The opposite angle will also be the same as the given angle due to the property of vertically opposite angles.

So for the angle of 55°:

  • The adjacent angles will be \( 180° - 55° = 125° \).
  • The opposite angle will also be 55°.

Therefore, the four angles at the intersection can be described as:

  • 55° (the given angle)
  • 125° (adjacent angle)
  • 125° (the angle opposite the adjacent angle)
  • 55° (the angle opposite the given angle)

Thus, the answer is 55°, 125°, and 125°.