Respuesta :

nitrotype2000

Answer: X = 36.

Step-by-step explanation: There are 360 degrees in a trapezoid. Two angles are 108 degrees. 108 + 108 =216. 360 minus 216 is 144. 2x + 2x = 4x. 144 divided by 4 is 36. Therefore, x =36.

carlosego

For this case we have that, by definition, the sum of the internal angles of a quadrilateral is 360 degrees. So:

[tex]108 + 108 + 2x + 2x = 360\\216 + 4x = 360[/tex]

We subtract 216 on both sides of the equation:

[tex]216-216 + 4x = 360-216\\4x = 144[/tex]

We divide between 4 on both sides of the equation:

[tex]\frac {4x} {4} = \frac {144} {4}\\x = 36[/tex]

Thus, the value of x is 36 degrees.

Answer:

36 degrees

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