Respuesta :

amuratov

Answer:

A

Step-by-step explanation:

The sum of angles in a quadrilateral is 180

[tex](x - 5) + (x + 35) + 1.4x + x = 360[/tex]

[tex]2x + 30 + 1.4x + x = 360[/tex]

[tex]4.4x + 30 = 360[/tex]

[tex]4.4x = 330[/tex]

[tex]x = 75[/tex]

[tex]x = 75[/tex]

[tex](x - 5) = 70[/tex]

[tex](x + 35) = 110[/tex]

[tex]1.4x = 105[/tex]

[tex]x = 75[/tex]

Answer:

A. 75°, 70°, 110°, 105°, 75°

Step-by-step explanation:

As the figure says, the sum of all the angles is 360 degrees, thus, write down:

[tex](x-5)+(x+35)+1.4x+x=360[/tex]

And solve for x:

[tex](x-5)+(x+35)+1.4x+x=360\\4.4x-5+35=360\\4.4x+30=360\\4.4x=330\\x=75[/tex]

Replace x into the other angles and solve:

[tex]A_1=(75-5)=70\\A_2=(75+35)=110\\A_3=1.4(75)=105\\A_4=75[/tex]

Choice A shows all the correct angle measures, therefore, A is the correct answer.

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