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The value of x in the trapezoid is 11.
<h3>Properties of an isosceles trapezoid</h3>- The base angles are the same
- The sum of opposite angles is 180° or supplementary.
- The diagonals are the same in length.
Therefore, the angle 9x and 7x + 4 are supplementary.
Hence,
9x + 7x + 4 = 180
16x + 4 = 180
16x = 180 - 4
16x = 176
x = 176 / 16
x = 11
learn more on trapezoid here: brainly.com/question/18651035
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