Question

solve for x.
answer x = round answer to 2 decimal places if needed.
question help: video read

Explanation:

Step1: Find the sum of interior angles of a hexagon

The formula for the sum of interior angles of an \(n -\)sided polygon is \((n - 2)\times180^{\circ}\). For \(n=6\) (a hexagon), the sum \(S=(6 - 2)\times180^{\circ}=720^{\circ}\).

Step2: Set up an equation for the sum of angles in the given hexagon

The sum of the angles in the hexagon is \(4x+4x + 8x+3x+3x+4x\). Combine like - terms: \((4 + 4+8 + 3+3+4)x=26x\).

Step3: Solve for \(x\)

Since the sum of the interior angles of the hexagon is \(720^{\circ}\), we have the equation \(26x = 720\). Then \(x=\frac{720}{26}\approx27.69\).

Answer:

\(x\approx27.69\)