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1. Consider the figure below where l2 intersects and m<2 = 90°
Which of the following statements are correct
Select all that apply.
21 and 24 are adjacent angles.
21 and 22 are complementary angles,
23 and 24 are adjacent angles and complementary angles.
25 is a vertical angle to the combination of 23 and 22.
21 and 23 are vertical angles.
24 and 25 are adjacent angles, supplementary angles, and form a linear pair.
There is at least one angle bisector in the above graph.

1 Consider the figure below where l2 intersects and mlt2 90 Which of the following statements are correct Select all that apply 21 and 24 are adjacent angles 21 class=

Respuesta :

angle 3 and angle 4 are adjacent and complementary.

angle 5 is a vertical angle to the combination of angle 3 and 2

angle 4 and angle 5 are adjacent, supplementary, and form a linear pair

If you want me to explain why, comment it, i just have no time to now.

MrRoyal

There are several properties that relate angles between two lines.

The true statements are:

  • [tex]\mathbf{\angle 3\ and\ \angle 4}[/tex] are adjacent and complementary.
  • [tex]\mathbf{\angle 5}[/tex] is a vertical angle to the combination of [tex]\mathbf{\angle 3\ and\ \angle 2}[/tex]
  • [tex]\mathbf{\angle 4\ and\ \angle 5}[/tex] are adjacent, supplementary, and form a linear pair

From the attached image, we have the following observations

  • [tex]\mathbf{\angle 1\ and\ \angle 4}[/tex] are not adjacent angles, because they are not next to each other.
  • [tex]\mathbf{\angle 1\ and\ \angle 2}[/tex] are not complementary angles, because they do not add up to 90 degrees.

The above highlights mean that: options (a) and (b) are false

From the attached figure, [tex]\mathbf{\angle 3\ and\ \angle 4}[/tex] form a linear pair.

  • This means that, [tex]\mathbf{\angle 3\ and\ \angle 4}[/tex] are complementary angles
  • Because [tex]\mathbf{\angle 3\ and\ \angle 4}[/tex] are next to each other, they are also adjacent angles.

The above highlights mean that: option (c) is true

From the attached figure, [tex]\mathbf{\angle 5 = \angle 2 + \angle 3}[/tex]

  • This means that [tex]\mathbf{\angle 5 }[/tex] is a vertical combination of [tex]\mathbf{\angle 2 \ and\ \angle 3}[/tex]

The above highlights mean that: option (d) is true

From the attached figure, [tex]\mathbf{\angle 4\ and\ \angle 5}[/tex] are next to each other, and they add up to 180 degrees.

  • This means that, [tex]\mathbf{\angle 4\ and\ \angle 5}[/tex] are supplementary angles
  • [tex]\mathbf{\angle 4\ and\ \angle 5}[/tex] are linear pair
  • [tex]\mathbf{\angle 4\ and\ \angle 5}[/tex] are adjacent angles

The above highlights mean that: option (f) is true

Read more about angles between two lines at:

https://brainly.com/question/11293539

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