11. If ABDC is an isosceles trapezoid,what is the value of x?C82⁰A8(5×-40)D12

asked Apr 17, 2023 48.2k views

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Since ABCD is an isosceles trapezoid we have that:

$\angle C=\angle D$

So, substitute each angle:

And solve for x:

$\begin{gathered} 82+40=5x-40+40 \\ 122=5x \\ (122)/(5)=(5x)/(5) \\ x=24.4 \end{gathered}$

Answer: x = 24.4

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