Question

1
type the correct answer in the box.
determine the value of x in this polygon.
(x + 12.5)°
(6x + 3)°
(2x + 8)°
x =
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Explanation:

Step1: Use the property of trapezoid

In a trapezoid, consecutive - interior angles are supplementary. The sum of the interior angles of a trapezoid is \(360^{\circ}\), and for a trapezoid with two parallel sides, \((6x + 3)+(x + 12.5)+(2x + 8)+(x + 12.5)=360\) (because the sum of all interior angles of a quadrilateral is \(360^{\circ}\)).

Step2: Combine like terms

Combine the \(x\) - terms and the constant terms:

$$
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Step3: Solve for \(x\)

Subtract \(36\) from both sides of the equation: \(10x=360 - 36=324\).
Divide both sides by \(10\): \(x=\frac{324}{10}=16\).

Answer:

\(16\)