Question

solve for x: 8x + 207° 6x 185 x =

Explanation:

Step1: Use angle - sum property

The sum of the angles around a point is 360°. So, we can set up the equation \(6x + 185+(8x + 207)=360\).

Step2: Combine like - terms

First, combine the \(x\) terms and the constant terms: \((6x+8x)+(185 + 207)=360\), which simplifies to \(14x+392 = 360\).

Step3: Isolate the variable term

Subtract 392 from both sides of the equation: \(14x=360 - 392\), so \(14x=- 32\).

Step4: Solve for \(x\)

Divide both sides by 14: \(x=\frac{-32}{14}=-\frac{16}{7}\approx - 2.29\).

Answer:

\(x =-\frac{16}{7}\)