Question

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

Explanation:

Step1: Sum of interior angles of a hexagon

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

Step2: Set up the equation

We have \(1x+3x + 7x+5x+3x+x=720\). Combine like - terms: \((1 + 3+7+5+3 + 1)x=720\), so \(20x=720\).

Step3: Solve for \(x\)

Divide both sides of the equation \(20x = 720\) by \(20\): \(x=\frac{720}{20}\).

Answer:

\(x = 36\)