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Sagot :

Answer:

x = 12

Step-by-step explanation:

For trapezoid DEFG to be isosceles, measures of it's base angles must be equal.

i.e.

[tex] m\angle E =m\angle F[/tex]

[tex] (5x+15)\degree =(7x - 9)\degree [/tex]

5x + 15 = 7x - 9

5x - 7x = - 15 - 9

-2x = - 24

2x = 24

[tex] x = \frac{24}{2} [/tex]

x = 12

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