Question

this is the only question in this section. question solve for x

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(116^{\circ}+(14 + 4x)^{\circ}=180^{\circ}\).

Step2: Simplify the equation

$$
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$$

Step3: Solve for \(x\)

Subtract \(130\) from both sides: \(4x=180 - 130\), so \(4x = 50\). Then divide both sides by \(4\): \(x=\frac{50}{4}=12.5\).

Answer:

\(x = 12.5\)