Respuesta :

Answer:

x = 8.

Step-by-step explanation:

Because its an isosceles trapezoid the diagonals SV and TU are equal, so

4x - 9 = x + 15

3x = 24

x = 8 (answer)>

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel. The value of x is 8.

What is a Trapezoid?

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

For an isosceles trapezoid, the length of the diagonals is always equal. Therefore,

SV = TU

4x - 9 = x + 15

4x - x = 15 + 9

3x = 24

x = 8

Hence, the value of x is 8.

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