noobnoobkid123 noobnoobkid123
  • 01-04-2017
  • Mathematics
contestada

What is the value of x in trapezoid ABCD?

X = ?


What is the value of x in trapezoid ABCD X class=

Respuesta :

bcalle
bcalle bcalle
  • 01-04-2017
9x + 3x = 180
12x = 180
x = 15
Answer Link
calculista
calculista calculista
  • 24-08-2018

we know that

In the isosceles trapezoid of the figure, the angles on either side of the bases are the same size/measure (congruent), and adjacent angles (next to each other) along the sides are supplementary.

so

m∠A=m∠B=3x

m∠D=m∠C=9x

m∠A+m∠D=[tex] 180 [/tex]

Substitute

[tex] 3x+9x=180\\\\ 12x=180\\\\ x=\frac{180}{12} \\ \\ x=15\ degrees [/tex]

therefore

the answer is

the value of x is equal to [tex] 15\ degrees [/tex]

Answer Link

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