Question

determine the value of x.
x = 120
x = 9
x = 28.5
x = 21

Explanation:

Step1: Calculate the sum of interior angles

The formula for the sum of interior angles of a hexagon (\(n = 6\)) is \((n - 2)\times180^{\circ}=(6 - 2)\times180^{\circ}=720^{\circ}\). Since it's a regular hexagon, each interior angle is \(\frac{720^{\circ}}{6}=120^{\circ}\).

Step2: Solve the equation

Set \(8x-48 = 120\). Add \(48\) to both sides: \(8x=120 + 48\), so \(8x=168\). Divide both sides by \(8\): \(x=\frac{168}{8}=21\).

Answer:

\(x = 21\)