Question

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Explanation:

Step1: Recall trapezoid angle property

In an isosceles trapezoid, consecutive base angles are supplementary, so the sum of one angle from each pair is $180^\circ$.

Step2: Expand and simplify the equation

First expand $3(x-8)$:
$3(x-8) = 3x - 24$
Set up the equation:
$(2x + 4) + (3x - 24) = 180$
Combine like terms:
$5x - 20 = 180$

Step3: Solve for x

Add 20 to both sides:
$5x = 180 + 20 = 200$
Divide by 5:
$x = \frac{200}{5}$

Answer:

$x = 40$