Respuesta :

Answer:  y = 8

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Explanation:

Notice how EC = 5 doubles to BC = 5+5 = 10

So the larger quadrilateral (ABCD) has side lengths that are exactly twice as long compared to the smaller quadrilateral's sides. We can say the scale factor is 2.

This must mean that side FG = 4 doubles to 4*2 = 8, which is the length of side AD. So that's how we get y = 8.

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Extra info:

  • x = 12 because side EF = 6 doubles to this value.
  • w = 120 because the corresponding angles of ABCD pair up with FECG, so we see that angle D = angle G = 120.
  • z = 80 because we solve F+E+C+G = 360 to find that F = 80, which leads to angle A = 80 as well.
y=8 if im a not mistaken