contestada

OMG PLEASE HELP!!


(02.06)A pair of parallel lines is cut by a transversal, as shown:

A pair of parallel lines is shown cut by a transversal. Angle x is located in the upper right exterior next to the transversal, and angle y is located in the bottom left exterior corner of the transversal.

Which of the following best represents the relationship between angles x and y?

x = 180 degrees − y
y = 180 degrees − x
x = y
x = 2y

Respuesta :

Using the concept of parallel lines cut by transversal, it is found that the relation is:

[tex]x = y[/tex]

--------------------------

  • The situation is modeled by the image appended at the end.
  • Angles x and z are opposite by the same vertex, thus, they have the same measure, that is, [tex]x = z[/tex].
  • Angles w and z are supplementary, that is, they add to 180º, as are w and y. Thus:

[tex]w + z = 180[/tex]

[tex]w + x = 180[/tex]

[tex]w = 180 - x[/tex]

[tex]w + y = 180[/tex]

[tex]180 - x + y = 180[/tex]

[tex]x = y[/tex]

Thus, x = y is the correct option.

A similar problem is given at https://brainly.com/question/16742265

Ver imagen joaobezerra

Otras preguntas