roberthagemanjr
roberthagemanjr roberthagemanjr
  • 24-01-2020
  • Mathematics
contestada

What are the values of x and y?

What are the values of x and y class=

Respuesta :

calculista
calculista calculista
  • 31-01-2020

Answer:

[tex]x=70^o[/tex]

[tex]y=110^o[/tex]

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

In this problem the quadrilateral ABCD is a parallelogram

so

[tex]x=70^o[/tex] -----> by opposite angles in a parallelogram

[tex]x+y=180^o[/tex] ---> by consecutive angles in a parallelogram

substitute the value of x

[tex]70^o+y=180^o[/tex]

[tex]y=180^o-70^o=110^o[/tex]

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